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Finding the Fourth Proportional to 29,929.38, 41,302.62 and 16,500.66

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Solution

The fourth proportional to 29,929.38, 41,302.62 and 16,500.66 is: 22,770.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,929.38 : 41,302.62 = 16,500.66 : x
  2. Step 2: Convert to fraction form
    29,929.38/41,302.62 = 16,500.66/x
  3. Step 3: Cross multiply
    29,929.38x = 41,302.62 × 16,500.66
  4. Step 4: Simplify right side
    29,929.38x = 681,520,489.73
  5. Step 5: Solve for x
    x = 681,520,489.73/29,929.38
  6. Step 6: Final answer
    x = 22,770.95

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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.