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Finding the Fourth Proportional to 68,337.80, 102,489.69 and 23,966

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Solution

The fourth proportional to 68,337.80, 102,489.69 and 23,966 is: 35,943.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,337.80 : 102,489.69 = 23,966 : x
  2. Step 2: Convert to fraction form
    68,337.80/102,489.69 = 23,966/x
  3. Step 3: Cross multiply
    68,337.80x = 102,489.69 × 23,966
  4. Step 4: Simplify right side
    68,337.80x = 2,456,267,910.54
  5. Step 5: Solve for x
    x = 2,456,267,910.54/68,337.80
  6. Step 6: Final answer
    x = 35,943.03

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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.