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Finding the Fourth Proportional to 71,491.75, 107,244.92 and 24,744.49

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Solution

The fourth proportional to 71,491.75, 107,244.92 and 24,744.49 is: 37,119.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,491.75 : 107,244.92 = 24,744.49 : x
  2. Step 2: Convert to fraction form
    71,491.75/107,244.92 = 24,744.49/x
  3. Step 3: Cross multiply
    71,491.75x = 107,244.92 × 24,744.49
  4. Step 4: Simplify right side
    71,491.75x = 2,653,720,850.49
  5. Step 5: Solve for x
    x = 2,653,720,850.49/71,491.75
  6. Step 6: Final answer
    x = 37,119.26

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1.5x scale

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.