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Finding the Fourth Proportional to 31,761.70, 43,806.34 and 22,198.43

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Solution

The fourth proportional to 31,761.70, 43,806.34 and 22,198.43 is: 30,616.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,761.70 : 43,806.34 = 22,198.43 : x
  2. Step 2: Convert to fraction form
    31,761.70/43,806.34 = 22,198.43/x
  3. Step 3: Cross multiply
    31,761.70x = 43,806.34 × 22,198.43
  4. Step 4: Simplify right side
    31,761.70x = 972,431,972.05
  5. Step 5: Solve for x
    x = 972,431,972.05/31,761.70
  6. Step 6: Final answer
    x = 30,616.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.