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Finding the Fourth Proportional to 41,942.16, 57,879.90 and 23,079.24

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Solution

The fourth proportional to 41,942.16, 57,879.90 and 23,079.24 is: 31,849.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,942.16 : 57,879.90 = 23,079.24 : x
  2. Step 2: Convert to fraction form
    41,942.16/57,879.90 = 23,079.24/x
  3. Step 3: Cross multiply
    41,942.16x = 57,879.90 × 23,079.24
  4. Step 4: Simplify right side
    41,942.16x = 1,335,824,103.28
  5. Step 5: Solve for x
    x = 1,335,824,103.28/41,942.16
  6. Step 6: Final answer
    x = 31,849.20

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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.