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Finding the Fourth Proportional to 59,416.38, 82,008.99 and 38,192.76

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Solution

The fourth proportional to 59,416.38, 82,008.99 and 38,192.76 is: 52,715.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,416.38 : 82,008.99 = 38,192.76 : x
  2. Step 2: Convert to fraction form
    59,416.38/82,008.99 = 38,192.76/x
  3. Step 3: Cross multiply
    59,416.38x = 82,008.99 × 38,192.76
  4. Step 4: Simplify right side
    59,416.38x = 3,132,149,672.91
  5. Step 5: Solve for x
    x = 3,132,149,672.91/59,416.38
  6. Step 6: Final answer
    x = 52,715.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.