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Finding the Fourth Proportional to 41,198.38, 56,855.29 and 23,292.32

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Solution

The fourth proportional to 41,198.38, 56,855.29 and 23,292.32 is: 32,144.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,198.38 : 56,855.29 = 23,292.32 : x
  2. Step 2: Convert to fraction form
    41,198.38/56,855.29 = 23,292.32/x
  3. Step 3: Cross multiply
    41,198.38x = 56,855.29 × 23,292.32
  4. Step 4: Simplify right side
    41,198.38x = 1,324,291,324.10
  5. Step 5: Solve for x
    x = 1,324,291,324.10/41,198.38
  6. Step 6: Final answer
    x = 32,144.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.