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Finding the Fourth Proportional to 27,659.36, 38,201.79 and 20,139.32

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Solution

The fourth proportional to 27,659.36, 38,201.79 and 20,139.32 is: 27,815.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,659.36 : 38,201.79 = 20,139.32 : x
  2. Step 2: Convert to fraction form
    27,659.36/38,201.79 = 20,139.32/x
  3. Step 3: Cross multiply
    27,659.36x = 38,201.79 × 20,139.32
  4. Step 4: Simplify right side
    27,659.36x = 769,358,073.38
  5. Step 5: Solve for x
    x = 769,358,073.38/27,659.36
  6. Step 6: Final answer
    x = 27,815.47

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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.