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Finding the Fourth Proportional to 82,502.92, 123,754.74 and 29,891.80

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Solution

The fourth proportional to 82,502.92, 123,754.74 and 29,891.80 is: 44,837.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,502.92 : 123,754.74 = 29,891.80 : x
  2. Step 2: Convert to fraction form
    82,502.92/123,754.74 = 29,891.80/x
  3. Step 3: Cross multiply
    82,502.92x = 123,754.74 × 29,891.80
  4. Step 4: Simplify right side
    82,502.92x = 3,699,251,937.13
  5. Step 5: Solve for x
    x = 3,699,251,937.13/82,502.92
  6. Step 6: Final answer
    x = 44,837.83

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Why These Related Problems?

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