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Finding the Fourth Proportional to 57,144.60, 85,650.66 and 33,790.68

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Solution

The fourth proportional to 57,144.60, 85,650.66 and 33,790.68 is: 50,646.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,144.60 : 85,650.66 = 33,790.68 : x
  2. Step 2: Convert to fraction form
    57,144.60/85,650.66 = 33,790.68/x
  3. Step 3: Cross multiply
    57,144.60x = 85,650.66 × 33,790.68
  4. Step 4: Simplify right side
    57,144.60x = 2,894,194,043.85
  5. Step 5: Solve for x
    x = 2,894,194,043.85/57,144.60
  6. Step 6: Final answer
    x = 50,646.85

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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.