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Finding the Fourth Proportional to 27,965.82, 41,936.17 and 8,237.46

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Solution

The fourth proportional to 27,965.82, 41,936.17 and 8,237.46 is: 12,352.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,965.82 : 41,936.17 = 8,237.46 : x
  2. Step 2: Convert to fraction form
    27,965.82/41,936.17 = 8,237.46/x
  3. Step 3: Cross multiply
    27,965.82x = 41,936.17 × 8,237.46
  4. Step 4: Simplify right side
    27,965.82x = 345,447,522.93
  5. Step 5: Solve for x
    x = 345,447,522.93/27,965.82
  6. Step 6: Final answer
    x = 12,352.49

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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.