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Finding the Fourth Proportional to 48,930.20, 67,535.76 and 27,722

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Solution

The fourth proportional to 48,930.20, 67,535.76 and 27,722 is: 38,263.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,930.20 : 67,535.76 = 27,722 : x
  2. Step 2: Convert to fraction form
    48,930.20/67,535.76 = 27,722/x
  3. Step 3: Cross multiply
    48,930.20x = 67,535.76 × 27,722
  4. Step 4: Simplify right side
    48,930.20x = 1,872,226,338.72
  5. Step 5: Solve for x
    x = 1,872,226,338.72/48,930.20
  6. Step 6: Final answer
    x = 38,263.21

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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.