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Finding the Fourth Proportional to 29,442.38, 40,630.43 and 16,013.66

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Solution

The fourth proportional to 29,442.38, 40,630.43 and 16,013.66 is: 22,098.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,442.38 : 40,630.43 = 16,013.66 : x
  2. Step 2: Convert to fraction form
    29,442.38/40,630.43 = 16,013.66/x
  3. Step 3: Cross multiply
    29,442.38x = 40,630.43 × 16,013.66
  4. Step 4: Simplify right side
    29,442.38x = 650,641,728.56
  5. Step 5: Solve for x
    x = 650,641,728.56/29,442.38
  6. Step 6: Final answer
    x = 22,098.82

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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.