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Finding the Fourth Proportional to 41,590.38, 57,378.42 and 25,647.18

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Solution

The fourth proportional to 41,590.38, 57,378.42 and 25,647.18 is: 35,383.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,590.38 : 57,378.42 = 25,647.18 : x
  2. Step 2: Convert to fraction form
    41,590.38/57,378.42 = 25,647.18/x
  3. Step 3: Cross multiply
    41,590.38x = 57,378.42 × 25,647.18
  4. Step 4: Simplify right side
    41,590.38x = 1,471,594,665.86
  5. Step 5: Solve for x
    x = 1,471,594,665.86/41,590.38
  6. Step 6: Final answer
    x = 35,383.05

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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.