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Finding the Fourth Proportional to 57,786.78, 86,680.20 and 20,850.78

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Solution

The fourth proportional to 57,786.78, 86,680.20 and 20,850.78 is: 31,276.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,786.78 : 86,680.20 = 20,850.78 : x
  2. Step 2: Convert to fraction form
    57,786.78/86,680.20 = 20,850.78/x
  3. Step 3: Cross multiply
    57,786.78x = 86,680.20 × 20,850.78
  4. Step 4: Simplify right side
    57,786.78x = 1,807,349,780.56
  5. Step 5: Solve for x
    x = 1,807,349,780.56/57,786.78
  6. Step 6: Final answer
    x = 31,276.18

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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.