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Finding the Fourth Proportional to 29,931.38, 41,307.17 and 16,502.61

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Solution

The fourth proportional to 29,931.38, 41,307.17 and 16,502.61 is: 22,774.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,931.38 : 41,307.17 = 16,502.61 : x
  2. Step 2: Convert to fraction form
    29,931.38/41,307.17 = 16,502.61/x
  3. Step 3: Cross multiply
    29,931.38x = 41,307.17 × 16,502.61
  4. Step 4: Simplify right side
    29,931.38x = 681,676,034.20
  5. Step 5: Solve for x
    x = 681,676,034.20/29,931.38
  6. Step 6: Final answer
    x = 22,774.63

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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.