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Finding the Fourth Proportional to 31,744.20, 47,600.91 and 9,553.44

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Solution

The fourth proportional to 31,744.20, 47,600.91 and 9,553.44 is: 14,325.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,744.20 : 47,600.91 = 9,553.44 : x
  2. Step 2: Convert to fraction form
    31,744.20/47,600.91 = 9,553.44/x
  3. Step 3: Cross multiply
    31,744.20x = 47,600.91 × 9,553.44
  4. Step 4: Simplify right side
    31,744.20x = 454,752,437.63
  5. Step 5: Solve for x
    x = 454,752,437.63/31,744.20
  6. Step 6: Final answer
    x = 14,325.53

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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.