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Finding the Fourth Proportional to 97,793.68, 134,951.78 and 55,351.30

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Solution

The fourth proportional to 97,793.68, 134,951.78 and 55,351.30 is: 76,382.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,793.68 : 134,951.78 = 55,351.30 : x
  2. Step 2: Convert to fraction form
    97,793.68/134,951.78 = 55,351.30/x
  3. Step 3: Cross multiply
    97,793.68x = 134,951.78 × 55,351.30
  4. Step 4: Simplify right side
    97,793.68x = 7,469,756,460.31
  5. Step 5: Solve for x
    x = 7,469,756,460.31/97,793.68
  6. Step 6: Final answer
    x = 76,382.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.