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Finding the Fourth Proportional to 40,542.75, 55,942.32 and 22,634.88

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Solution

The fourth proportional to 40,542.75, 55,942.32 and 22,634.88 is: 31,232.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,542.75 : 55,942.32 = 22,634.88 : x
  2. Step 2: Convert to fraction form
    40,542.75/55,942.32 = 22,634.88/x
  3. Step 3: Cross multiply
    40,542.75x = 55,942.32 × 22,634.88
  4. Step 4: Simplify right side
    40,542.75x = 1,266,247,700.12
  5. Step 5: Solve for x
    x = 1,266,247,700.12/40,542.75
  6. Step 6: Final answer
    x = 31,232.41

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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.