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Finding the Fourth Proportional to 32,227.92, 44,452 and 31,144.16

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Solution

The fourth proportional to 32,227.92, 44,452 and 31,144.16 is: 42,957.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,227.92 : 44,452 = 31,144.16 : x
  2. Step 2: Convert to fraction form
    32,227.92/44,452 = 31,144.16/x
  3. Step 3: Cross multiply
    32,227.92x = 44,452 × 31,144.16
  4. Step 4: Simplify right side
    32,227.92x = 1,384,420,200.32
  5. Step 5: Solve for x
    x = 1,384,420,200.32/32,227.92
  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.