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Finding the Fourth Proportional to 31,450.80, 47,151.37 and 15,647.20

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Solution

The fourth proportional to 31,450.80, 47,151.37 and 15,647.20 is: 23,458.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,450.80 : 47,151.37 = 15,647.20 : x
  2. Step 2: Convert to fraction form
    31,450.80/47,151.37 = 15,647.20/x
  3. Step 3: Cross multiply
    31,450.80x = 47,151.37 × 15,647.20
  4. Step 4: Simplify right side
    31,450.80x = 737,786,680.91
  5. Step 5: Solve for x
    x = 737,786,680.91/31,450.80
  6. Step 6: Final answer
    x = 23,458.44

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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.