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Finding the Fourth Proportional to 48,930, 67,517.46 and 27,708.54

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Solution

The fourth proportional to 48,930, 67,517.46 and 27,708.54 is: 38,234.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,930 : 67,517.46 = 27,708.54 : x
  2. Step 2: Convert to fraction form
    48,930/67,517.46 = 27,708.54/x
  3. Step 3: Cross multiply
    48,930x = 67,517.46 × 27,708.54
  4. Step 4: Simplify right side
    48,930x = 1,870,810,241.11
  5. Step 5: Solve for x
    x = 1,870,810,241.11/48,930
  6. Step 6: Final answer
    x = 38,234.42

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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.