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Finding the Fourth Proportional to 68,294.24, 102,248.19 and 36,200.19

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Solution

The fourth proportional to 68,294.24, 102,248.19 and 36,200.19 is: 54,197.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,294.24 : 102,248.19 = 36,200.19 : x
  2. Step 2: Convert to fraction form
    68,294.24/102,248.19 = 36,200.19/x
  3. Step 3: Cross multiply
    68,294.24x = 102,248.19 × 36,200.19
  4. Step 4: Simplify right side
    68,294.24x = 3,701,403,743.80
  5. Step 5: Solve for x
    x = 3,701,403,743.80/68,294.24
  6. Step 6: Final answer
    x = 54,197.89

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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.