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Finding the Fourth Proportional to 57,245.20, 85,827.80 and 33,859.60

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Solution

The fourth proportional to 57,245.20, 85,827.80 and 33,859.60 is: 50,765.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,245.20 : 85,827.80 = 33,859.60 : x
  2. Step 2: Convert to fraction form
    57,245.20/85,827.80 = 33,859.60/x
  3. Step 3: Cross multiply
    57,245.20x = 85,827.80 × 33,859.60
  4. Step 4: Simplify right side
    57,245.20x = 2,906,094,976.88
  5. Step 5: Solve for x
    x = 2,906,094,976.88/57,245.20
  6. Step 6: Final answer
    x = 50,765.74

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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.