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Finding the Fourth Proportional to 49,714.97, 68,591.19 and 28,201.16

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Solution

The fourth proportional to 49,714.97, 68,591.19 and 28,201.16 is: 38,908.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,714.97 : 68,591.19 = 28,201.16 : x
  2. Step 2: Convert to fraction form
    49,714.97/68,591.19 = 28,201.16/x
  3. Step 3: Cross multiply
    49,714.97x = 68,591.19 × 28,201.16
  4. Step 4: Simplify right side
    49,714.97x = 1,934,351,123.78
  5. Step 5: Solve for x
    x = 1,934,351,123.78/49,714.97
  6. Step 6: Final answer
    x = 38,908.83

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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.