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Finding the Fourth Proportional to 48,306.97, 66,651 and 27,884.03

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Solution

The fourth proportional to 48,306.97, 66,651 and 27,884.03 is: 38,472.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,306.97 : 66,651 = 27,884.03 : x
  2. Step 2: Convert to fraction form
    48,306.97/66,651 = 27,884.03/x
  3. Step 3: Cross multiply
    48,306.97x = 66,651 × 27,884.03
  4. Step 4: Simplify right side
    48,306.97x = 1,858,498,483.53
  5. Step 5: Solve for x
    x = 1,858,498,483.53/48,306.97
  6. Step 6: Final answer
    x = 38,472.68

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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.