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Finding the Fourth Proportional to 71,757.72, 107,578.26 and 25,043.40

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Solution

The fourth proportional to 71,757.72, 107,578.26 and 25,043.40 is: 37,544.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,757.72 : 107,578.26 = 25,043.40 : x
  2. Step 2: Convert to fraction form
    71,757.72/107,578.26 = 25,043.40/x
  3. Step 3: Cross multiply
    71,757.72x = 107,578.26 × 25,043.40
  4. Step 4: Simplify right side
    71,757.72x = 2,694,125,396.48
  5. Step 5: Solve for x
    x = 2,694,125,396.48/71,757.72
  6. Step 6: Final answer
    x = 37,544.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.