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Finding the Fourth Proportional to 31,474.74, 47,200.17 and 10,408.47

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Solution

The fourth proportional to 31,474.74, 47,200.17 and 10,408.47 is: 15,608.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,474.74 : 47,200.17 = 10,408.47 : x
  2. Step 2: Convert to fraction form
    31,474.74/47,200.17 = 10,408.47/x
  3. Step 3: Cross multiply
    31,474.74x = 47,200.17 × 10,408.47
  4. Step 4: Simplify right side
    31,474.74x = 491,281,553.44
  5. Step 5: Solve for x
    x = 491,281,553.44/31,474.74
  6. Step 6: Final answer
    x = 15,608.76

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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.