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Finding the Fourth Proportional to 27,828.90, 41,743.35 and 8,109

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Solution

The fourth proportional to 27,828.90, 41,743.35 and 8,109 is: 12,163.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,828.90 : 41,743.35 = 8,109 : x
  2. Step 2: Convert to fraction form
    27,828.90/41,743.35 = 8,109/x
  3. Step 3: Cross multiply
    27,828.90x = 41,743.35 × 8,109
  4. Step 4: Simplify right side
    27,828.90x = 338,496,825.15
  5. Step 5: Solve for x
    x = 338,496,825.15/27,828.90
  6. Step 6: Final answer
    x = 12,163.50

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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.