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Finding the Fourth Proportional to 31,732.43, 47,604.92 and 9,544.82

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Solution

The fourth proportional to 31,732.43, 47,604.92 and 9,544.82 is: 14,319.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,732.43 : 47,604.92 = 9,544.82 : x
  2. Step 2: Convert to fraction form
    31,732.43/47,604.92 = 9,544.82/x
  3. Step 3: Cross multiply
    31,732.43x = 47,604.92 × 9,544.82
  4. Step 4: Simplify right side
    31,732.43x = 454,380,106.77
  5. Step 5: Solve for x
    x = 454,380,106.77/31,732.43
  6. Step 6: Final answer
    x = 14,319.11

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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.