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Finding the Fourth Proportional to 27,034.50, 40,553.59 and 8,313.38

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Solution

The fourth proportional to 27,034.50, 40,553.59 and 8,313.38 is: 12,470.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,034.50 : 40,553.59 = 8,313.38 : x
  2. Step 2: Convert to fraction form
    27,034.50/40,553.59 = 8,313.38/x
  3. Step 3: Cross multiply
    27,034.50x = 40,553.59 × 8,313.38
  4. Step 4: Simplify right side
    27,034.50x = 337,137,404.03
  5. Step 5: Solve for x
    x = 337,137,404.03/27,034.50
  6. Step 6: Final answer
    x = 12,470.64

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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.