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Finding the Fourth Proportional to 27,049.57, 37,327.65 and 15,112.91

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Solution

The fourth proportional to 27,049.57, 37,327.65 and 15,112.91 is: 20,855.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,049.57 : 37,327.65 = 15,112.91 : x
  2. Step 2: Convert to fraction form
    27,049.57/37,327.65 = 15,112.91/x
  3. Step 3: Cross multiply
    27,049.57x = 37,327.65 × 15,112.91
  4. Step 4: Simplify right side
    27,049.57x = 564,129,394.12
  5. Step 5: Solve for x
    x = 564,129,394.12/27,049.57
  6. Step 6: Final answer
    x = 20,855.39

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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.