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Finding the Fourth Proportional to 33,183.13, 49,774.09 and 8,223.23

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Solution

The fourth proportional to 33,183.13, 49,774.09 and 8,223.23 is: 12,334.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,183.13 : 49,774.09 = 8,223.23 : x
  2. Step 2: Convert to fraction form
    33,183.13/49,774.09 = 8,223.23/x
  3. Step 3: Cross multiply
    33,183.13x = 49,774.09 × 8,223.23
  4. Step 4: Simplify right side
    33,183.13x = 409,303,790.11
  5. Step 5: Solve for x
    x = 409,303,790.11/33,183.13
  6. Step 6: Final answer
    x = 12,334.70

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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.