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Finding the Fourth Proportional to 27,952.10, 41,933.55 and 8,231.30

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Solution

The fourth proportional to 27,952.10, 41,933.55 and 8,231.30 is: 12,348.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,952.10 : 41,933.55 = 8,231.30 : x
  2. Step 2: Convert to fraction form
    27,952.10/41,933.55 = 8,231.30/x
  3. Step 3: Cross multiply
    27,952.10x = 41,933.55 × 8,231.30
  4. Step 4: Simplify right side
    27,952.10x = 345,167,630.12
  5. Step 5: Solve for x
    x = 345,167,630.12/27,952.10
  6. Step 6: Final answer
    x = 12,348.54

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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.