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Finding the Fourth Proportional to 67,250.40, 100,832.40 and 27,823.20

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Solution

The fourth proportional to 67,250.40, 100,832.40 and 27,823.20 is: 41,716.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,250.40 : 100,832.40 = 27,823.20 : x
  2. Step 2: Convert to fraction form
    67,250.40/100,832.40 = 27,823.20/x
  3. Step 3: Cross multiply
    67,250.40x = 100,832.40 × 27,823.20
  4. Step 4: Simplify right side
    67,250.40x = 2,805,480,031.68
  5. Step 5: Solve for x
    x = 2,805,480,031.68/67,250.40
  6. Step 6: Final answer
    x = 41,716.93

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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.