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Finding the Fourth Proportional to 49,170.71, 67,854.94 and 27,658.85

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Solution

The fourth proportional to 49,170.71, 67,854.94 and 27,658.85 is: 38,168.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,170.71 : 67,854.94 = 27,658.85 : x
  2. Step 2: Convert to fraction form
    49,170.71/67,854.94 = 27,658.85/x
  3. Step 3: Cross multiply
    49,170.71x = 67,854.94 × 27,658.85
  4. Step 4: Simplify right side
    49,170.71x = 1,876,789,198.80
  5. Step 5: Solve for x
    x = 1,876,789,198.80/49,170.71
  6. Step 6: Final answer
    x = 38,168.84

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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.