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Finding the Fourth Proportional to 36,115.38, 49,839.57 and 20,200.68

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Solution

The fourth proportional to 36,115.38, 49,839.57 and 20,200.68 is: 27,877.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,115.38 : 49,839.57 = 20,200.68 : x
  2. Step 2: Convert to fraction form
    36,115.38/49,839.57 = 20,200.68/x
  3. Step 3: Cross multiply
    36,115.38x = 49,839.57 × 20,200.68
  4. Step 4: Simplify right side
    36,115.38x = 1,006,793,204.91
  5. Step 5: Solve for x
    x = 1,006,793,204.91/36,115.38
  6. Step 6: Final answer
    x = 27,877.13

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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.