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Finding the Fourth Proportional to 31,843.54, 47,765.25 and 8,469.98

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Solution

The fourth proportional to 31,843.54, 47,765.25 and 8,469.98 is: 12,704.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,843.54 : 47,765.25 = 8,469.98 : x
  2. Step 2: Convert to fraction form
    31,843.54/47,765.25 = 8,469.98/x
  3. Step 3: Cross multiply
    31,843.54x = 47,765.25 × 8,469.98
  4. Step 4: Simplify right side
    31,843.54x = 404,570,712.20
  5. Step 5: Solve for x
    x = 404,570,712.20/31,843.54
  6. Step 6: Final answer
    x = 12,704.95

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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.