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Finding the Fourth Proportional to 68,196.88, 102,311.92 and 23,217.84

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Solution

The fourth proportional to 68,196.88, 102,311.92 and 23,217.84 is: 34,832.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,196.88 : 102,311.92 = 23,217.84 : x
  2. Step 2: Convert to fraction form
    68,196.88/102,311.92 = 23,217.84/x
  3. Step 3: Cross multiply
    68,196.88x = 102,311.92 × 23,217.84
  4. Step 4: Simplify right side
    68,196.88x = 2,375,461,788.65
  5. Step 5: Solve for x
    x = 2,375,461,788.65/68,196.88
  6. Step 6: Final answer
    x = 34,832.41

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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.