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Finding the Fourth Proportional to 57,142.44, 78,849.12 and 31,992

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Solution

The fourth proportional to 57,142.44, 78,849.12 and 31,992 is: 44,144.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,142.44 : 78,849.12 = 31,992 : x
  2. Step 2: Convert to fraction form
    57,142.44/78,849.12 = 31,992/x
  3. Step 3: Cross multiply
    57,142.44x = 78,849.12 × 31,992
  4. Step 4: Simplify right side
    57,142.44x = 2,522,541,047.04
  5. Step 5: Solve for x
    x = 2,522,541,047.04/57,142.44
  6. Step 6: Final answer
    x = 44,144.79

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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.