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Finding the Fourth Proportional to 57,733.75, 86,608.05 and 16,180.75

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Solution

The fourth proportional to 57,733.75, 86,608.05 and 16,180.75 is: 24,273.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,733.75 : 86,608.05 = 16,180.75 : x
  2. Step 2: Convert to fraction form
    57,733.75/86,608.05 = 16,180.75/x
  3. Step 3: Cross multiply
    57,733.75x = 86,608.05 × 16,180.75
  4. Step 4: Simplify right side
    57,733.75x = 1,401,383,205.04
  5. Step 5: Solve for x
    x = 1,401,383,205.04/57,733.75
  6. Step 6: Final answer
    x = 24,273.21

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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.