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Finding the Fourth Proportional to 49,123.71, 67,792.28 and 27,901.71

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Solution

The fourth proportional to 49,123.71, 67,792.28 and 27,901.71 is: 38,505.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,123.71 : 67,792.28 = 27,901.71 : x
  2. Step 2: Convert to fraction form
    49,123.71/67,792.28 = 27,901.71/x
  3. Step 3: Cross multiply
    49,123.71x = 67,792.28 × 27,901.71
  4. Step 4: Simplify right side
    49,123.71x = 1,891,520,536.80
  5. Step 5: Solve for x
    x = 1,891,520,536.80/49,123.71
  6. Step 6: Final answer
    x = 38,505.25

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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.