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Finding the Fourth Proportional to 82,142.91, 123,229.53 and 25,997.13

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Solution

The fourth proportional to 82,142.91, 123,229.53 and 25,997.13 is: 39,000.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,142.91 : 123,229.53 = 25,997.13 : x
  2. Step 2: Convert to fraction form
    82,142.91/123,229.53 = 25,997.13/x
  3. Step 3: Cross multiply
    82,142.91x = 123,229.53 × 25,997.13
  4. Step 4: Simplify right side
    82,142.91x = 3,203,614,111.25
  5. Step 5: Solve for x
    x = 3,203,614,111.25/82,142.91
  6. Step 6: Final answer
    x = 39,000.49

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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.