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Finding the Fourth Proportional to 31,961.26, 47,942.28 and 12,241

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Solution

The fourth proportional to 31,961.26, 47,942.28 and 12,241 is: 18,361.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,961.26 : 47,942.28 = 12,241 : x
  2. Step 2: Convert to fraction form
    31,961.26/47,942.28 = 12,241/x
  3. Step 3: Cross multiply
    31,961.26x = 47,942.28 × 12,241
  4. Step 4: Simplify right side
    31,961.26x = 586,861,449.48
  5. Step 5: Solve for x
    x = 586,861,449.48/31,961.26
  6. Step 6: Final answer
    x = 18,361.65

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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.