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Finding the Fourth Proportional to 31,480.80, 47,221.20 and 10,704.30

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Solution

The fourth proportional to 31,480.80, 47,221.20 and 10,704.30 is: 16,056.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,480.80 : 47,221.20 = 10,704.30 : x
  2. Step 2: Convert to fraction form
    31,480.80/47,221.20 = 10,704.30/x
  3. Step 3: Cross multiply
    31,480.80x = 47,221.20 × 10,704.30
  4. Step 4: Simplify right side
    31,480.80x = 505,469,891.16
  5. Step 5: Solve for x
    x = 505,469,891.16/31,480.80
  6. Step 6: Final answer
    x = 16,056.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.