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Finding the Fourth Proportional to 41,587.38, 57,374.30 and 25,644.16

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Solution

The fourth proportional to 41,587.38, 57,374.30 and 25,644.16 is: 35,378.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,587.38 : 57,374.30 = 25,644.16 : x
  2. Step 2: Convert to fraction form
    41,587.38/57,374.30 = 25,644.16/x
  3. Step 3: Cross multiply
    41,587.38x = 57,374.30 × 25,644.16
  4. Step 4: Simplify right side
    41,587.38x = 1,471,315,729.09
  5. Step 5: Solve for x
    x = 1,471,315,729.09/41,587.38
  6. Step 6: Final answer
    x = 35,378.90

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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.