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Finding the Fourth Proportional to 53,561.56, 73,914.76 and 29,688

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Solution

The fourth proportional to 53,561.56, 73,914.76 and 29,688 is: 40,969.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,561.56 : 73,914.76 = 29,688 : x
  2. Step 2: Convert to fraction form
    53,561.56/73,914.76 = 29,688/x
  3. Step 3: Cross multiply
    53,561.56x = 73,914.76 × 29,688
  4. Step 4: Simplify right side
    53,561.56x = 2,194,381,394.88
  5. Step 5: Solve for x
    x = 2,194,381,394.88/53,561.56
  6. Step 6: Final answer
    x = 40,969.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.