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Finding the Fourth Proportional to 41,451.88, 57,203.60 and 22,589

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Solution

The fourth proportional to 41,451.88, 57,203.60 and 22,589 is: 31,172.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,451.88 : 57,203.60 = 22,589 : x
  2. Step 2: Convert to fraction form
    41,451.88/57,203.60 = 22,589/x
  3. Step 3: Cross multiply
    41,451.88x = 57,203.60 × 22,589
  4. Step 4: Simplify right side
    41,451.88x = 1,292,172,120.40
  5. Step 5: Solve for x
    x = 1,292,172,120.40/41,451.88
  6. Step 6: Final answer
    x = 31,172.82

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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.