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Finding the Fourth Proportional to 97,781.92, 146,694.56 and 35,450.88

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Solution

The fourth proportional to 97,781.92, 146,694.56 and 35,450.88 is: 53,184.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,781.92 : 146,694.56 = 35,450.88 : x
  2. Step 2: Convert to fraction form
    97,781.92/146,694.56 = 35,450.88/x
  3. Step 3: Cross multiply
    97,781.92x = 146,694.56 × 35,450.88
  4. Step 4: Simplify right side
    97,781.92x = 5,200,451,243.21
  5. Step 5: Solve for x
    x = 5,200,451,243.21/97,781.92
  6. Step 6: Final answer
    x = 53,184.18

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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.