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Finding the Fourth Proportional to 82,451.65, 123,687.33 and 29,132.59

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Solution

The fourth proportional to 82,451.65, 123,687.33 and 29,132.59 is: 43,702.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,451.65 : 123,687.33 = 29,132.59 : x
  2. Step 2: Convert to fraction form
    82,451.65/123,687.33 = 29,132.59/x
  3. Step 3: Cross multiply
    82,451.65x = 123,687.33 × 29,132.59
  4. Step 4: Simplify right side
    82,451.65x = 3,603,332,273.08
  5. Step 5: Solve for x
    x = 3,603,332,273.08/82,451.65
  6. Step 6: Final answer
    x = 43,702.37

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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.