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Finding the Fourth Proportional to 57,786.90, 86,680.35 and 16,233.90

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Solution

The fourth proportional to 57,786.90, 86,680.35 and 16,233.90 is: 24,350.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,786.90 : 86,680.35 = 16,233.90 : x
  2. Step 2: Convert to fraction form
    57,786.90/86,680.35 = 16,233.90/x
  3. Step 3: Cross multiply
    57,786.90x = 86,680.35 × 16,233.90
  4. Step 4: Simplify right side
    57,786.90x = 1,407,160,133.87
  5. Step 5: Solve for x
    x = 1,407,160,133.87/57,786.90
  6. Step 6: Final answer
    x = 24,350.85

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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.