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Finding the Fourth Proportional to 71,846.97, 107,744.52 and 30,297.21

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Solution

The fourth proportional to 71,846.97, 107,744.52 and 30,297.21 is: 45,434.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,846.97 : 107,744.52 = 30,297.21 : x
  2. Step 2: Convert to fraction form
    71,846.97/107,744.52 = 30,297.21/x
  3. Step 3: Cross multiply
    71,846.97x = 107,744.52 × 30,297.21
  4. Step 4: Simplify right side
    71,846.97x = 3,264,358,348.79
  5. Step 5: Solve for x
    x = 3,264,358,348.79/71,846.97
  6. Step 6: Final answer
    x = 45,434.88

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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.