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Finding the Fourth Proportional to 27,832.47, 41,748.09 and 6,772.65

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Solution

The fourth proportional to 27,832.47, 41,748.09 and 6,772.65 is: 10,158.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,832.47 : 41,748.09 = 6,772.65 : x
  2. Step 2: Convert to fraction form
    27,832.47/41,748.09 = 6,772.65/x
  3. Step 3: Cross multiply
    27,832.47x = 41,748.09 × 6,772.65
  4. Step 4: Simplify right side
    27,832.47x = 282,745,201.74
  5. Step 5: Solve for x
    x = 282,745,201.74/27,832.47
  6. Step 6: Final answer
    x = 10,158.83

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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.