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Finding the Fourth Proportional to 82,501.92, 123,753.24 and 29,890.80

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Solution

The fourth proportional to 82,501.92, 123,753.24 and 29,890.80 is: 44,836.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,501.92 : 123,753.24 = 29,890.80 : x
  2. Step 2: Convert to fraction form
    82,501.92/123,753.24 = 29,890.80/x
  3. Step 3: Cross multiply
    82,501.92x = 123,753.24 × 29,890.80
  4. Step 4: Simplify right side
    82,501.92x = 3,699,083,346.19
  5. Step 5: Solve for x
    x = 3,699,083,346.19/82,501.92
  6. Step 6: Final answer
    x = 44,836.33

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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.