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Finding the Fourth Proportional to 27,819.01, 41,735 and 8,099.65

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Solution

The fourth proportional to 27,819.01, 41,735 and 8,099.65 is: 12,151.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,819.01 : 41,735 = 8,099.65 : x
  2. Step 2: Convert to fraction form
    27,819.01/41,735 = 8,099.65/x
  3. Step 3: Cross multiply
    27,819.01x = 41,735 × 8,099.65
  4. Step 4: Simplify right side
    27,819.01x = 338,038,892.75
  5. Step 5: Solve for x
    x = 338,038,892.75/27,819.01
  6. Step 6: Final answer
    x = 12,151.36

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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.