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Finding the Fourth Proportional to 41,856, 57,761.37 and 22,735.86

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Solution

The fourth proportional to 41,856, 57,761.37 and 22,735.86 is: 31,375.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,856 : 57,761.37 = 22,735.86 : x
  2. Step 2: Convert to fraction form
    41,856/57,761.37 = 22,735.86/x
  3. Step 3: Cross multiply
    41,856x = 57,761.37 × 22,735.86
  4. Step 4: Simplify right side
    41,856x = 1,313,254,421.73
  5. Step 5: Solve for x
    x = 1,313,254,421.73/41,856
  6. Step 6: Final answer
    x = 31,375.54

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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.