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Finding the Fourth Proportional to 67,493.82, 101,223.08 and 20,096.08

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Solution

The fourth proportional to 67,493.82, 101,223.08 and 20,096.08 is: 30,138.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,493.82 : 101,223.08 = 20,096.08 : x
  2. Step 2: Convert to fraction form
    67,493.82/101,223.08 = 20,096.08/x
  3. Step 3: Cross multiply
    67,493.82x = 101,223.08 × 20,096.08
  4. Step 4: Simplify right side
    67,493.82x = 2,034,187,113.53
  5. Step 5: Solve for x
    x = 2,034,187,113.53/67,493.82
  6. Step 6: Final answer
    x = 30,138.86

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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.