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Finding the Fourth Proportional to 27,952.16, 41,928.53 and 8,231.09

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Solution

The fourth proportional to 27,952.16, 41,928.53 and 8,231.09 is: 12,346.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,952.16 : 41,928.53 = 8,231.09 : x
  2. Step 2: Convert to fraction form
    27,952.16/41,928.53 = 8,231.09/x
  3. Step 3: Cross multiply
    27,952.16x = 41,928.53 × 8,231.09
  4. Step 4: Simplify right side
    27,952.16x = 345,117,253.20
  5. Step 5: Solve for x
    x = 345,117,253.20/27,952.16
  6. Step 6: Final answer
    x = 12,346.71

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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.