A ratio of 3:1 means that for a $4 profit for example, $3 goes to Tucker while only $1 goes to Titus. This means that Tucker gets ¾ of the profit. Now for the credit balance of $40,000, ¾ of that goes to Tucker. That is equivalent to $30,000 going to Tuckers pocket.
Therefore, Tuckers capital balance after the closing is:
Tucker = $40,000 + $30,000 = $70, 000