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Finding the Fourth Proportional to 27,794.38, 38,356.02 and 15,047.58

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Solution

The fourth proportional to 27,794.38, 38,356.02 and 15,047.58 is: 20,765.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,794.38 : 38,356.02 = 15,047.58 : x
  2. Step 2: Convert to fraction form
    27,794.38/38,356.02 = 15,047.58/x
  3. Step 3: Cross multiply
    27,794.38x = 38,356.02 × 15,047.58
  4. Step 4: Simplify right side
    27,794.38x = 577,165,279.43
  5. Step 5: Solve for x
    x = 577,165,279.43/27,794.38
  6. Step 6: Final answer
    x = 20,765.54

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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.