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Finding the Fourth Proportional to 57,191.41, 85,769.85 and 21,640.82

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Solution

The fourth proportional to 57,191.41, 85,769.85 and 21,640.82 is: 32,454.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,191.41 : 85,769.85 = 21,640.82 : x
  2. Step 2: Convert to fraction form
    57,191.41/85,769.85 = 21,640.82/x
  3. Step 3: Cross multiply
    57,191.41x = 85,769.85 × 21,640.82
  4. Step 4: Simplify right side
    57,191.41x = 1,856,129,456.43
  5. Step 5: Solve for x
    x = 1,856,129,456.43/57,191.41
  6. Step 6: Final answer
    x = 32,454.69

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1.5x scale

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.