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Finding the Fourth Proportional to 27,952.75, 41,899.95 and 11,324.26

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Solution

The fourth proportional to 27,952.75, 41,899.95 and 11,324.26 is: 16,974.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,952.75 : 41,899.95 = 11,324.26 : x
  2. Step 2: Convert to fraction form
    27,952.75/41,899.95 = 11,324.26/x
  3. Step 3: Cross multiply
    27,952.75x = 41,899.95 × 11,324.26
  4. Step 4: Simplify right side
    27,952.75x = 474,485,865.50
  5. Step 5: Solve for x
    x = 474,485,865.50/27,952.75
  6. Step 6: Final answer
    x = 16,974.57

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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.