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Finding the Fourth Proportional to 67,319.84, 100,982.31 and 25,195.48

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Solution

The fourth proportional to 67,319.84, 100,982.31 and 25,195.48 is: 37,794.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,319.84 : 100,982.31 = 25,195.48 : x
  2. Step 2: Convert to fraction form
    67,319.84/100,982.31 = 25,195.48/x
  3. Step 3: Cross multiply
    67,319.84x = 100,982.31 × 25,195.48
  4. Step 4: Simplify right side
    67,319.84x = 2,544,297,992.67
  5. Step 5: Solve for x
    x = 2,544,297,992.67/67,319.84
  6. Step 6: Final answer
    x = 37,794.18

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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.