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Finding the Fourth Proportional to 27,107.82, 37,409.30 and 15,172.47

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Solution

The fourth proportional to 27,107.82, 37,409.30 and 15,172.47 is: 20,938.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,107.82 : 37,409.30 = 15,172.47 : x
  2. Step 2: Convert to fraction form
    27,107.82/37,409.30 = 15,172.47/x
  3. Step 3: Cross multiply
    27,107.82x = 37,409.30 × 15,172.47
  4. Step 4: Simplify right side
    27,107.82x = 567,591,481.97
  5. Step 5: Solve for x
    x = 567,591,481.97/27,107.82
  6. Step 6: Final answer
    x = 20,938.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.