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Finding the Fourth Proportional to 41,645.10, 57,469.77 and 22,782

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Solution

The fourth proportional to 41,645.10, 57,469.77 and 22,782 is: 31,438.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,645.10 : 57,469.77 = 22,782 : x
  2. Step 2: Convert to fraction form
    41,645.10/57,469.77 = 22,782/x
  3. Step 3: Cross multiply
    41,645.10x = 57,469.77 × 22,782
  4. Step 4: Simplify right side
    41,645.10x = 1,309,276,300.14
  5. Step 5: Solve for x
    x = 1,309,276,300.14/41,645.10
  6. Step 6: Final answer
    x = 31,438.90

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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.