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Finding the Fourth Proportional to 83,660.16, 125,478.24 and 27,502.56

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Solution

The fourth proportional to 83,660.16, 125,478.24 and 27,502.56 is: 41,249.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,660.16 : 125,478.24 = 27,502.56 : x
  2. Step 2: Convert to fraction form
    83,660.16/125,478.24 = 27,502.56/x
  3. Step 3: Cross multiply
    83,660.16x = 125,478.24 × 27,502.56
  4. Step 4: Simplify right side
    83,660.16x = 3,450,972,824.29
  5. Step 5: Solve for x
    x = 3,450,972,824.29/83,660.16
  6. Step 6: Final answer
    x = 41,249.90

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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.