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Finding the Fourth Proportional to 31,278.28, 43,163.40 and 17,131

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Solution

The fourth proportional to 31,278.28, 43,163.40 and 17,131 is: 23,640.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,278.28 : 43,163.40 = 17,131 : x
  2. Step 2: Convert to fraction form
    31,278.28/43,163.40 = 17,131/x
  3. Step 3: Cross multiply
    31,278.28x = 43,163.40 × 17,131
  4. Step 4: Simplify right side
    31,278.28x = 739,432,205.40
  5. Step 5: Solve for x
    x = 739,432,205.40/31,278.28
  6. Step 6: Final answer
    x = 23,640.44

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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.