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Finding the Fourth Proportional to 27,959.30, 41,965.32 and 10,207.16

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Solution

The fourth proportional to 27,959.30, 41,965.32 and 10,207.16 is: 15,320.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,959.30 : 41,965.32 = 10,207.16 : x
  2. Step 2: Convert to fraction form
    27,959.30/41,965.32 = 10,207.16/x
  3. Step 3: Cross multiply
    27,959.30x = 41,965.32 × 10,207.16
  4. Step 4: Simplify right side
    27,959.30x = 428,346,735.69
  5. Step 5: Solve for x
    x = 428,346,735.69/27,959.30
  6. Step 6: Final answer
    x = 15,320.37

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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.