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Finding the Fourth Proportional to 67,102.44, 100,665.81 and 27,638.03

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Solution

The fourth proportional to 67,102.44, 100,665.81 and 27,638.03 is: 41,462.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,102.44 : 100,665.81 = 27,638.03 : x
  2. Step 2: Convert to fraction form
    67,102.44/100,665.81 = 27,638.03/x
  3. Step 3: Cross multiply
    67,102.44x = 100,665.81 × 27,638.03
  4. Step 4: Simplify right side
    67,102.44x = 2,782,204,173.43
  5. Step 5: Solve for x
    x = 2,782,204,173.43/67,102.44
  6. Step 6: Final answer
    x = 41,462.04

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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.