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Finding the Fourth Proportional to 53,551.72, 73,901.96 and 29,678.84

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Solution

The fourth proportional to 53,551.72, 73,901.96 and 29,678.84 is: 40,957.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,551.72 : 73,901.96 = 29,678.84 : x
  2. Step 2: Convert to fraction form
    53,551.72/73,901.96 = 29,678.84/x
  3. Step 3: Cross multiply
    53,551.72x = 73,901.96 × 29,678.84
  4. Step 4: Simplify right side
    53,551.72x = 2,193,324,446.53
  5. Step 5: Solve for x
    x = 2,193,324,446.53/53,551.72
  6. Step 6: Final answer
    x = 40,957.12

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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.