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$($Pass PLS Exam Problem$)$ You are to set the southwest corner of Section $34$ which is lost. The sketch shows the record dimensions per GLO. The south boundary of the township along Section $34$ was surveyed in $1863.$ The completion survey of the south boundary of the township was completed in $1879($random and true line$)$ giving the record bearing and distance for the south line of Section $33$ as shown. Coordinates shown are per your field survey. What are the coordinates of the southwest corner of Section $34?$