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Finding the Fourth Proportional to 41,408.76, 57,144.22 and 22,546

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Solution

The fourth proportional to 41,408.76, 57,144.22 and 22,546 is: 31,113.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,408.76 : 57,144.22 = 22,546 : x
  2. Step 2: Convert to fraction form
    41,408.76/57,144.22 = 22,546/x
  3. Step 3: Cross multiply
    41,408.76x = 57,144.22 × 22,546
  4. Step 4: Simplify right side
    41,408.76x = 1,288,373,584.12
  5. Step 5: Solve for x
    x = 1,288,373,584.12/41,408.76
  6. Step 6: Final answer
    x = 31,113.55

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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.