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Finding the Fourth Proportional to 31,922.03, 47,885.81 and 8,229.38

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Solution

The fourth proportional to 31,922.03, 47,885.81 and 8,229.38 is: 12,344.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,922.03 : 47,885.81 = 8,229.38 : x
  2. Step 2: Convert to fraction form
    31,922.03/47,885.81 = 8,229.38/x
  3. Step 3: Cross multiply
    31,922.03x = 47,885.81 × 8,229.38
  4. Step 4: Simplify right side
    31,922.03x = 394,070,379.39
  5. Step 5: Solve for x
    x = 394,070,379.39/31,922.03
  6. Step 6: Final answer
    x = 12,344.78

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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.