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Finding the Fourth Proportional to 49,178.52, 67,866.39 and 27,957.87

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Solution

The fourth proportional to 49,178.52, 67,866.39 and 27,957.87 is: 38,581.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,178.52 : 67,866.39 = 27,957.87 : x
  2. Step 2: Convert to fraction form
    49,178.52/67,866.39 = 27,957.87/x
  3. Step 3: Cross multiply
    49,178.52x = 67,866.39 × 27,957.87
  4. Step 4: Simplify right side
    49,178.52x = 1,897,399,708.99
  5. Step 5: Solve for x
    x = 1,897,399,708.99/49,178.52
  6. Step 6: Final answer
    x = 38,581.88

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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.