"The precious printed sheets were brought into the house and laid upon the floor, and then a little group of interested ones were gathered in, and we knelt around the papers, and with humble hearts and many tears besought the Lord to let His blessing rest upon these printed messengers of truth. LS 126.2"
"And when they had prayed, the place was shaken where they were assembled together; and they were all filled with the Holy Ghost, and they spake the word of God with boldness."
Both passages describe a group of believers gathering together to pray for God's blessing on their work. While the specific outcomes differ, the core theme of communal prayer and seeking divine favor is present in both.
"During July, August, and September, four numbers of the paper were printed at Middletown. Each number contained eight pages. [The size of the pages was about six by nine and one half inches.] Always before the papers were mailed, they were spread before the Lord, and earnest prayers, mingled with tears, were offered to God that His blessing would attend the silent messengers. Soon after the sending out of the first number, we received letters bringing means with which to continue publishing the paper, and also the good news of many souls embracing the truth. LS 126.4"
"And when they had prayed, the place was shaken where they were assembled together; and they were all filled with the Holy Ghost, and they spake the word of God with boldness."
Similar to pair 2, this passage describes prayer for the success of spreading the word. While Acts 4:31 describes a more dramatic event, the underlying theme of prayer preceding the spread of the gospel is present.