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Finding the Fourth Proportional to 51,212.72, 76,819.16 and 33,760.48

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Solution

The fourth proportional to 51,212.72, 76,819.16 and 33,760.48 is: 50,640.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,212.72 : 76,819.16 = 33,760.48 : x
  2. Step 2: Convert to fraction form
    51,212.72/76,819.16 = 33,760.48/x
  3. Step 3: Cross multiply
    51,212.72x = 76,819.16 × 33,760.48
  4. Step 4: Simplify right side
    51,212.72x = 2,593,451,714.80
  5. Step 5: Solve for x
    x = 2,593,451,714.80/51,212.72
  6. Step 6: Final answer
    x = 50,640.77

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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.