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Finding the Fourth Proportional to 83,200.65, 124,819.20 and 27,031.20

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Solution

The fourth proportional to 83,200.65, 124,819.20 and 27,031.20 is: 40,552.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,200.65 : 124,819.20 = 27,031.20 : x
  2. Step 2: Convert to fraction form
    83,200.65/124,819.20 = 27,031.20/x
  3. Step 3: Cross multiply
    83,200.65x = 124,819.20 × 27,031.20
  4. Step 4: Simplify right side
    83,200.65x = 3,374,012,759.04
  5. Step 5: Solve for x
    x = 3,374,012,759.04/83,200.65
  6. Step 6: Final answer
    x = 40,552.72

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1.5x scale

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.