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Finding the Fourth Proportional to 31,834.44, 43,912.67 and 21,757.77

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Solution

The fourth proportional to 31,834.44, 43,912.67 and 21,757.77 is: 30,012.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,834.44 : 43,912.67 = 21,757.77 : x
  2. Step 2: Convert to fraction form
    31,834.44/43,912.67 = 21,757.77/x
  3. Step 3: Cross multiply
    31,834.44x = 43,912.67 × 21,757.77
  4. Step 4: Simplify right side
    31,834.44x = 955,441,665.16
  5. Step 5: Solve for x
    x = 955,441,665.16/31,834.44
  6. Step 6: Final answer
    x = 30,012.83

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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.