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Finding the Fourth Proportional to 57,247.20, 85,830.80 and 33,861.60

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Solution

The fourth proportional to 57,247.20, 85,830.80 and 33,861.60 is: 50,768.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,247.20 : 85,830.80 = 33,861.60 : x
  2. Step 2: Convert to fraction form
    57,247.20/85,830.80 = 33,861.60/x
  3. Step 3: Cross multiply
    57,247.20x = 85,830.80 × 33,861.60
  4. Step 4: Simplify right side
    57,247.20x = 2,906,368,217.28
  5. Step 5: Solve for x
    x = 2,906,368,217.28/57,247.20
  6. Step 6: Final answer
    x = 50,768.74

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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.