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Finding the Fourth Proportional to 31,524.12, 47,286.03 and 9,337.62

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Solution

The fourth proportional to 31,524.12, 47,286.03 and 9,337.62 is: 14,006.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,524.12 : 47,286.03 = 9,337.62 : x
  2. Step 2: Convert to fraction form
    31,524.12/47,286.03 = 9,337.62/x
  3. Step 3: Cross multiply
    31,524.12x = 47,286.03 × 9,337.62
  4. Step 4: Simplify right side
    31,524.12x = 441,538,979.45
  5. Step 5: Solve for x
    x = 441,538,979.45/31,524.12
  6. Step 6: Final answer
    x = 14,006.39

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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.