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Finding the Fourth Proportional to 27,499.50, 41,250.06 and 6,723

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Solution

The fourth proportional to 27,499.50, 41,250.06 and 6,723 is: 10,084.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,499.50 : 41,250.06 = 6,723 : x
  2. Step 2: Convert to fraction form
    27,499.50/41,250.06 = 6,723/x
  3. Step 3: Cross multiply
    27,499.50x = 41,250.06 × 6,723
  4. Step 4: Simplify right side
    27,499.50x = 277,324,153.38
  5. Step 5: Solve for x
    x = 277,324,153.38/27,499.50
  6. Step 6: Final answer
    x = 10,084.70

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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.