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Finding the Fourth Proportional to 41,586.38, 57,372.92 and 25,643.16

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Solution

The fourth proportional to 41,586.38, 57,372.92 and 25,643.16 is: 35,377.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,586.38 : 57,372.92 = 25,643.16 : x
  2. Step 2: Convert to fraction form
    41,586.38/57,372.92 = 25,643.16/x
  3. Step 3: Cross multiply
    41,586.38x = 57,372.92 × 25,643.16
  4. Step 4: Simplify right side
    41,586.38x = 1,471,222,967.23
  5. Step 5: Solve for x
    x = 1,471,222,967.23/41,586.38
  6. Step 6: Final answer
    x = 35,377.52

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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.