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Finding the Fourth Proportional to 83,221.65, 124,850.70 and 27,052.20

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Solution

The fourth proportional to 83,221.65, 124,850.70 and 27,052.20 is: 40,584.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,221.65 : 124,850.70 = 27,052.20 : x
  2. Step 2: Convert to fraction form
    83,221.65/124,850.70 = 27,052.20/x
  3. Step 3: Cross multiply
    83,221.65x = 124,850.70 × 27,052.20
  4. Step 4: Simplify right side
    83,221.65x = 3,377,486,106.54
  5. Step 5: Solve for x
    x = 3,377,486,106.54/83,221.65
  6. Step 6: Final answer
    x = 40,584.22

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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.