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Finding the Fourth Proportional to 27,805.50, 41,710.03 and 11,163.33

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Solution

The fourth proportional to 27,805.50, 41,710.03 and 11,163.33 is: 16,745.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,805.50 : 41,710.03 = 11,163.33 : x
  2. Step 2: Convert to fraction form
    27,805.50/41,710.03 = 11,163.33/x
  3. Step 3: Cross multiply
    27,805.50x = 41,710.03 × 11,163.33
  4. Step 4: Simplify right side
    27,805.50x = 465,622,801.29
  5. Step 5: Solve for x
    x = 465,622,801.29/27,805.50
  6. Step 6: Final answer
    x = 16,745.71

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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.