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Finding the Fourth Proportional to 81,952.25, 122,949.50 and 44,502.71

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Solution

The fourth proportional to 81,952.25, 122,949.50 and 44,502.71 is: 66,765.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,952.25 : 122,949.50 = 44,502.71 : x
  2. Step 2: Convert to fraction form
    81,952.25/122,949.50 = 44,502.71/x
  3. Step 3: Cross multiply
    81,952.25x = 122,949.50 × 44,502.71
  4. Step 4: Simplify right side
    81,952.25x = 5,471,585,105.88
  5. Step 5: Solve for x
    x = 5,471,585,105.88/81,952.25
  6. Step 6: Final answer
    x = 66,765.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.