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Finding the Fourth Proportional to 68,151.72, 102,231.67 and 21,404.60

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Solution

The fourth proportional to 68,151.72, 102,231.67 and 21,404.60 is: 32,108.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,151.72 : 102,231.67 = 21,404.60 : x
  2. Step 2: Convert to fraction form
    68,151.72/102,231.67 = 21,404.60/x
  3. Step 3: Cross multiply
    68,151.72x = 102,231.67 × 21,404.60
  4. Step 4: Simplify right side
    68,151.72x = 2,188,228,003.68
  5. Step 5: Solve for x
    x = 2,188,228,003.68/68,151.72
  6. Step 6: Final answer
    x = 32,108.18

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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.