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Finding the Fourth Proportional to 83,686.80, 125,530.20 and 28,282.80

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Solution

The fourth proportional to 83,686.80, 125,530.20 and 28,282.80 is: 42,424.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,686.80 : 125,530.20 = 28,282.80 : x
  2. Step 2: Convert to fraction form
    83,686.80/125,530.20 = 28,282.80/x
  3. Step 3: Cross multiply
    83,686.80x = 125,530.20 × 28,282.80
  4. Step 4: Simplify right side
    83,686.80x = 3,550,345,540.56
  5. Step 5: Solve for x
    x = 3,550,345,540.56/83,686.80
  6. Step 6: Final answer
    x = 42,424.20

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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.