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Finding the Fourth Proportional to 41,571.44, 57,370.01 and 22,709.78

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Solution

The fourth proportional to 41,571.44, 57,370.01 and 22,709.78 is: 31,340.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,571.44 : 57,370.01 = 22,709.78 : x
  2. Step 2: Convert to fraction form
    41,571.44/57,370.01 = 22,709.78/x
  3. Step 3: Cross multiply
    41,571.44x = 57,370.01 × 22,709.78
  4. Step 4: Simplify right side
    41,571.44x = 1,302,860,305.70
  5. Step 5: Solve for x
    x = 1,302,860,305.70/41,571.44
  6. Step 6: Final answer
    x = 31,340.27

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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.