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Finding the Fourth Proportional to 41,452, 57,203.76 and 22,589.13

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Solution

The fourth proportional to 41,452, 57,203.76 and 22,589.13 is: 31,173.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,452 : 57,203.76 = 22,589.13 : x
  2. Step 2: Convert to fraction form
    41,452/57,203.76 = 22,589.13/x
  3. Step 3: Cross multiply
    41,452x = 57,203.76 × 22,589.13
  4. Step 4: Simplify right side
    41,452x = 1,292,183,171.13
  5. Step 5: Solve for x
    x = 1,292,183,171.13/41,452
  6. Step 6: Final answer
    x = 31,173.00

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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.