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Finding the Fourth Proportional to 27,959.44, 41,939.16 and 7,182.96

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Solution

The fourth proportional to 27,959.44, 41,939.16 and 7,182.96 is: 10,774.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,959.44 : 41,939.16 = 7,182.96 : x
  2. Step 2: Convert to fraction form
    27,959.44/41,939.16 = 7,182.96/x
  3. Step 3: Cross multiply
    27,959.44x = 41,939.16 × 7,182.96
  4. Step 4: Simplify right side
    27,959.44x = 301,247,308.71
  5. Step 5: Solve for x
    x = 301,247,308.71/27,959.44
  6. Step 6: Final answer
    x = 10,774.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.