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Finding the Fourth Proportional to 31,704.56, 47,556.78 and 9,517.90

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Solution

The fourth proportional to 31,704.56, 47,556.78 and 9,517.90 is: 14,276.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,704.56 : 47,556.78 = 9,517.90 : x
  2. Step 2: Convert to fraction form
    31,704.56/47,556.78 = 9,517.90/x
  3. Step 3: Cross multiply
    31,704.56x = 47,556.78 × 9,517.90
  4. Step 4: Simplify right side
    31,704.56x = 452,640,676.36
  5. Step 5: Solve for x
    x = 452,640,676.36/31,704.56
  6. Step 6: Final answer
    x = 14,276.83

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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.