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Finding the Fourth Proportional to 41,871.72, 57,782.32 and 23,008.44

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Solution

The fourth proportional to 41,871.72, 57,782.32 and 23,008.44 is: 31,751.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,871.72 : 57,782.32 = 23,008.44 : x
  2. Step 2: Convert to fraction form
    41,871.72/57,782.32 = 23,008.44/x
  3. Step 3: Cross multiply
    41,871.72x = 57,782.32 × 23,008.44
  4. Step 4: Simplify right side
    41,871.72x = 1,329,481,042.78
  5. Step 5: Solve for x
    x = 1,329,481,042.78/41,871.72
  6. Step 6: Final answer
    x = 31,751.29

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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.