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Finding the Fourth Proportional to 32,227.88, 44,452 and 31,144.12

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Solution

The fourth proportional to 32,227.88, 44,452 and 31,144.12 is: 42,957.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,227.88 : 44,452 = 31,144.12 : x
  2. Step 2: Convert to fraction form
    32,227.88/44,452 = 31,144.12/x
  3. Step 3: Cross multiply
    32,227.88x = 44,452 × 31,144.12
  4. Step 4: Simplify right side
    32,227.88x = 1,384,418,422.24
  5. Step 5: Solve for x
    x = 1,384,418,422.24/32,227.88
  6. Step 6: Final answer
    x = 42,957.17

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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.