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Finding the Fourth Proportional to 41,524, 62,286.54 and 13,822

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Solution

The fourth proportional to 41,524, 62,286.54 and 13,822 is: 20,733.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,524 : 62,286.54 = 13,822 : x
  2. Step 2: Convert to fraction form
    41,524/62,286.54 = 13,822/x
  3. Step 3: Cross multiply
    41,524x = 62,286.54 × 13,822
  4. Step 4: Simplify right side
    41,524x = 860,924,555.88
  5. Step 5: Solve for x
    x = 860,924,555.88/41,524
  6. Step 6: Final answer
    x = 20,733.18

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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.