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Finding the Fourth Proportional to 41,400, 57,132 and 22,537.26

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Solution

The fourth proportional to 41,400, 57,132 and 22,537.26 is: 31,101.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,400 : 57,132 = 22,537.26 : x
  2. Step 2: Convert to fraction form
    41,400/57,132 = 22,537.26/x
  3. Step 3: Cross multiply
    41,400x = 57,132 × 22,537.26
  4. Step 4: Simplify right side
    41,400x = 1,287,598,738.32
  5. Step 5: Solve for x
    x = 1,287,598,738.32/41,400
  6. Step 6: Final answer
    x = 31,101.42

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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.