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Finding the Fourth Proportional to 41,425.89, 57,168.33 and 22,563

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Solution

The fourth proportional to 41,425.89, 57,168.33 and 22,563 is: 31,137.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,425.89 : 57,168.33 = 22,563 : x
  2. Step 2: Convert to fraction form
    41,425.89/57,168.33 = 22,563/x
  3. Step 3: Cross multiply
    41,425.89x = 57,168.33 × 22,563
  4. Step 4: Simplify right side
    41,425.89x = 1,289,889,029.79
  5. Step 5: Solve for x
    x = 1,289,889,029.79/41,425.89
  6. Step 6: Final answer
    x = 31,137.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.