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Finding the Fourth Proportional to 83,906.60, 125,859.72 and 24,742.88

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Solution

The fourth proportional to 83,906.60, 125,859.72 and 24,742.88 is: 37,114.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,906.60 : 125,859.72 = 24,742.88 : x
  2. Step 2: Convert to fraction form
    83,906.60/125,859.72 = 24,742.88/x
  3. Step 3: Cross multiply
    83,906.60x = 125,859.72 × 24,742.88
  4. Step 4: Simplify right side
    83,906.60x = 3,114,131,948.79
  5. Step 5: Solve for x
    x = 3,114,131,948.79/83,906.60
  6. Step 6: Final answer
    x = 37,114.27

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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.