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Finding the Fourth Proportional to 41,755.38, 57,633.30 and 25,830.54

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Solution

The fourth proportional to 41,755.38, 57,633.30 and 25,830.54 is: 35,652.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,755.38 : 57,633.30 = 25,830.54 : x
  2. Step 2: Convert to fraction form
    41,755.38/57,633.30 = 25,830.54/x
  3. Step 3: Cross multiply
    41,755.38x = 57,633.30 × 25,830.54
  4. Step 4: Simplify right side
    41,755.38x = 1,488,699,260.98
  5. Step 5: Solve for x
    x = 1,488,699,260.98/41,755.38
  6. Step 6: Final answer
    x = 35,652.87

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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.