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Finding the Fourth Proportional to 80,229.96, 110,708.64 and 44,414.28

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Solution

The fourth proportional to 80,229.96, 110,708.64 and 44,414.28 is: 61,286.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,229.96 : 110,708.64 = 44,414.28 : x
  2. Step 2: Convert to fraction form
    80,229.96/110,708.64 = 44,414.28/x
  3. Step 3: Cross multiply
    80,229.96x = 110,708.64 × 44,414.28
  4. Step 4: Simplify right side
    80,229.96x = 4,917,044,535.38
  5. Step 5: Solve for x
    x = 4,917,044,535.38/80,229.96
  6. Step 6: Final answer
    x = 61,286.89

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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.