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Finding the Fourth Proportional to 27,975.33, 41,967.09 and 8,251.32

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Solution

The fourth proportional to 27,975.33, 41,967.09 and 8,251.32 is: 12,378.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,975.33 : 41,967.09 = 8,251.32 : x
  2. Step 2: Convert to fraction form
    27,975.33/41,967.09 = 8,251.32/x
  3. Step 3: Cross multiply
    27,975.33x = 41,967.09 × 8,251.32
  4. Step 4: Simplify right side
    27,975.33x = 346,283,889.06
  5. Step 5: Solve for x
    x = 346,283,889.06/27,975.33
  6. Step 6: Final answer
    x = 12,378.19

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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.