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Finding the Fourth Proportional to 86,582.80, 129,866.10 and 24,251.68

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Solution

The fourth proportional to 86,582.80, 129,866.10 and 24,251.68 is: 36,375.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,582.80 : 129,866.10 = 24,251.68 : x
  2. Step 2: Convert to fraction form
    86,582.80/129,866.10 = 24,251.68/x
  3. Step 3: Cross multiply
    86,582.80x = 129,866.10 × 24,251.68
  4. Step 4: Simplify right side
    86,582.80x = 3,149,471,100.05
  5. Step 5: Solve for x
    x = 3,149,471,100.05/86,582.80
  6. Step 6: Final answer
    x = 36,375.25

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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.