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Finding the Fourth Proportional to 31,912.94, 44,040.16 and 17,766.09

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Solution

The fourth proportional to 31,912.94, 44,040.16 and 17,766.09 is: 24,517.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,912.94 : 44,040.16 = 17,766.09 : x
  2. Step 2: Convert to fraction form
    31,912.94/44,040.16 = 17,766.09/x
  3. Step 3: Cross multiply
    31,912.94x = 44,040.16 × 17,766.09
  4. Step 4: Simplify right side
    31,912.94x = 782,421,446.17
  5. Step 5: Solve for x
    x = 782,421,446.17/31,912.94
  6. Step 6: Final answer
    x = 24,517.37

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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.