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Finding the Fourth Proportional to 68,196.82, 102,349.23 and 28,781.14

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Solution

The fourth proportional to 68,196.82, 102,349.23 and 28,781.14 is: 43,194.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,196.82 : 102,349.23 = 28,781.14 : x
  2. Step 2: Convert to fraction form
    68,196.82/102,349.23 = 28,781.14/x
  3. Step 3: Cross multiply
    68,196.82x = 102,349.23 × 28,781.14
  4. Step 4: Simplify right side
    68,196.82x = 2,945,727,517.52
  5. Step 5: Solve for x
    x = 2,945,727,517.52/68,196.82
  6. Step 6: Final answer
    x = 43,194.50

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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.