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Finding the Fourth Proportional to 68,649, 102,974.12 and 27,096

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Solution

The fourth proportional to 68,649, 102,974.12 and 27,096 is: 40,644.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,649 : 102,974.12 = 27,096 : x
  2. Step 2: Convert to fraction form
    68,649/102,974.12 = 27,096/x
  3. Step 3: Cross multiply
    68,649x = 102,974.12 × 27,096
  4. Step 4: Simplify right side
    68,649x = 2,790,186,620.04
  5. Step 5: Solve for x
    x = 2,790,186,620.04/68,649
  6. Step 6: Final answer
    x = 40,644.24

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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.