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Finding the Fourth Proportional to 68,144.62, 102,229.92 and 23,784.04

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Solution

The fourth proportional to 68,144.62, 102,229.92 and 23,784.04 is: 35,680.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,144.62 : 102,229.92 = 23,784.04 : x
  2. Step 2: Convert to fraction form
    68,144.62/102,229.92 = 23,784.04/x
  3. Step 3: Cross multiply
    68,144.62x = 102,229.92 × 23,784.04
  4. Step 4: Simplify right side
    68,144.62x = 2,431,440,506.48
  5. Step 5: Solve for x
    x = 2,431,440,506.48/68,144.62
  6. Step 6: Final answer
    x = 35,680.59

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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.