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Finding the Fourth Proportional to 33,183.90, 49,774.50 and 8,224.02

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Solution

The fourth proportional to 33,183.90, 49,774.50 and 8,224.02 is: 12,335.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,183.90 : 49,774.50 = 8,224.02 : x
  2. Step 2: Convert to fraction form
    33,183.90/49,774.50 = 8,224.02/x
  3. Step 3: Cross multiply
    33,183.90x = 49,774.50 × 8,224.02
  4. Step 4: Simplify right side
    33,183.90x = 409,346,483.49
  5. Step 5: Solve for x
    x = 409,346,483.49/33,183.90
  6. Step 6: Final answer
    x = 12,335.70

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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.