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Finding the Fourth Proportional to 80,287.54, 119,942.97 and 51,976.96

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Solution

The fourth proportional to 80,287.54, 119,942.97 and 51,976.96 is: 77,649.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,287.54 : 119,942.97 = 51,976.96 : x
  2. Step 2: Convert to fraction form
    80,287.54/119,942.97 = 51,976.96/x
  3. Step 3: Cross multiply
    80,287.54x = 119,942.97 × 51,976.96
  4. Step 4: Simplify right side
    80,287.54x = 6,234,270,953.97
  5. Step 5: Solve for x
    x = 6,234,270,953.97/80,287.54
  6. Step 6: Final answer
    x = 77,649.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.