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Finding the Fourth Proportional to 31,937.70, 47,906.29 and 8,243.22

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Solution

The fourth proportional to 31,937.70, 47,906.29 and 8,243.22 is: 12,364.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,937.70 : 47,906.29 = 8,243.22 : x
  2. Step 2: Convert to fraction form
    31,937.70/47,906.29 = 8,243.22/x
  3. Step 3: Cross multiply
    31,937.70x = 47,906.29 × 8,243.22
  4. Step 4: Simplify right side
    31,937.70x = 394,902,046.64
  5. Step 5: Solve for x
    x = 394,902,046.64/31,937.70
  6. Step 6: Final answer
    x = 12,364.76

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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.