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Finding the Fourth Proportional to 31,524.97, 47,286.86 and 7,832.57

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Solution

The fourth proportional to 31,524.97, 47,286.86 and 7,832.57 is: 11,748.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,524.97 : 47,286.86 = 7,832.57 : x
  2. Step 2: Convert to fraction form
    31,524.97/47,286.86 = 7,832.57/x
  3. Step 3: Cross multiply
    31,524.97x = 47,286.86 × 7,832.57
  4. Step 4: Simplify right side
    31,524.97x = 370,377,641.03
  5. Step 5: Solve for x
    x = 370,377,641.03/31,524.97
  6. Step 6: Final answer
    x = 11,748.71

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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.