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Finding the Fourth Proportional to 57,147.60, 85,655.16 and 33,793.68

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Solution

The fourth proportional to 57,147.60, 85,655.16 and 33,793.68 is: 50,651.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,147.60 : 85,655.16 = 33,793.68 : x
  2. Step 2: Convert to fraction form
    57,147.60/85,655.16 = 33,793.68/x
  3. Step 3: Cross multiply
    57,147.60x = 85,655.16 × 33,793.68
  4. Step 4: Simplify right side
    57,147.60x = 2,894,603,067.39
  5. Step 5: Solve for x
    x = 2,894,603,067.39/57,147.60
  6. Step 6: Final answer
    x = 50,651.35

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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.