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Finding the Fourth Proportional to 27,819.70, 41,729.63 and 8,098.73

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Solution

The fourth proportional to 27,819.70, 41,729.63 and 8,098.73 is: 12,148.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,819.70 : 41,729.63 = 8,098.73 : x
  2. Step 2: Convert to fraction form
    27,819.70/41,729.63 = 8,098.73/x
  3. Step 3: Cross multiply
    27,819.70x = 41,729.63 × 8,098.73
  4. Step 4: Simplify right side
    27,819.70x = 337,957,194.00
  5. Step 5: Solve for x
    x = 337,957,194.00/27,819.70
  6. Step 6: Final answer
    x = 12,148.12

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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.