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Finding the Fourth Proportional to 27,974.82, 41,971.12 and 8,253.48

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Solution

The fourth proportional to 27,974.82, 41,971.12 and 8,253.48 is: 12,382.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,974.82 : 41,971.12 = 8,253.48 : x
  2. Step 2: Convert to fraction form
    27,974.82/41,971.12 = 8,253.48/x
  3. Step 3: Cross multiply
    27,974.82x = 41,971.12 × 8,253.48
  4. Step 4: Simplify right side
    27,974.82x = 346,407,799.50
  5. Step 5: Solve for x
    x = 346,407,799.50/27,974.82
  6. Step 6: Final answer
    x = 12,382.84

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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.