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Finding the Fourth Proportional to 68,229.84, 102,354.09 and 23,846.31

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Solution

The fourth proportional to 68,229.84, 102,354.09 and 23,846.31 is: 35,772.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,229.84 : 102,354.09 = 23,846.31 : x
  2. Step 2: Convert to fraction form
    68,229.84/102,354.09 = 23,846.31/x
  3. Step 3: Cross multiply
    68,229.84x = 102,354.09 × 23,846.31
  4. Step 4: Simplify right side
    68,229.84x = 2,440,767,359.91
  5. Step 5: Solve for x
    x = 2,440,767,359.91/68,229.84
  6. Step 6: Final answer
    x = 35,772.73

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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.