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Finding the Fourth Proportional to 27,845.10, 41,769.47 and 8,122

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Solution

The fourth proportional to 27,845.10, 41,769.47 and 8,122 is: 12,183.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,845.10 : 41,769.47 = 8,122 : x
  2. Step 2: Convert to fraction form
    27,845.10/41,769.47 = 8,122/x
  3. Step 3: Cross multiply
    27,845.10x = 41,769.47 × 8,122
  4. Step 4: Simplify right side
    27,845.10x = 339,251,635.34
  5. Step 5: Solve for x
    x = 339,251,635.34/27,845.10
  6. Step 6: Final answer
    x = 12,183.53

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