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Finding the Fourth Proportional to 83,532.79, 125,310.53 and 24,367.96

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Solution

The fourth proportional to 83,532.79, 125,310.53 and 24,367.96 is: 36,555.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,532.79 : 125,310.53 = 24,367.96 : x
  2. Step 2: Convert to fraction form
    83,532.79/125,310.53 = 24,367.96/x
  3. Step 3: Cross multiply
    83,532.79x = 125,310.53 × 24,367.96
  4. Step 4: Simplify right side
    83,532.79x = 3,053,561,982.62
  5. Step 5: Solve for x
    x = 3,053,561,982.62/83,532.79
  6. Step 6: Final answer
    x = 36,555.25

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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.