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Finding the Fourth Proportional to 67,731.49, 101,560.20 and 53,781.13

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Solution

The fourth proportional to 67,731.49, 101,560.20 and 53,781.13 is: 80,642.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,731.49 : 101,560.20 = 53,781.13 : x
  2. Step 2: Convert to fraction form
    67,731.49/101,560.20 = 53,781.13/x
  3. Step 3: Cross multiply
    67,731.49x = 101,560.20 × 53,781.13
  4. Step 4: Simplify right side
    67,731.49x = 5,462,022,319.03
  5. Step 5: Solve for x
    x = 5,462,022,319.03/67,731.49
  6. Step 6: Final answer
    x = 80,642.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.