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Finding the Fourth Proportional to 27,198.92, 37,534.38 and 15,101.20

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Solution

The fourth proportional to 27,198.92, 37,534.38 and 15,101.20 is: 20,839.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,198.92 : 37,534.38 = 15,101.20 : x
  2. Step 2: Convert to fraction form
    27,198.92/37,534.38 = 15,101.20/x
  3. Step 3: Cross multiply
    27,198.92x = 37,534.38 × 15,101.20
  4. Step 4: Simplify right side
    27,198.92x = 566,814,179.26
  5. Step 5: Solve for x
    x = 566,814,179.26/27,198.92
  6. Step 6: Final answer
    x = 20,839.58

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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.