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Finding the Fourth Proportional to 27,382.58, 37,785.14 and 20,216.31

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Solution

The fourth proportional to 27,382.58, 37,785.14 and 20,216.31 is: 27,896.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,382.58 : 37,785.14 = 20,216.31 : x
  2. Step 2: Convert to fraction form
    27,382.58/37,785.14 = 20,216.31/x
  3. Step 3: Cross multiply
    27,382.58x = 37,785.14 × 20,216.31
  4. Step 4: Simplify right side
    27,382.58x = 763,876,002.55
  5. Step 5: Solve for x
    x = 763,876,002.55/27,382.58
  6. Step 6: Final answer
    x = 27,896.43

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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.