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Finding the Fourth Proportional to 33,182.64, 49,773.34 and 8,222.74

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Solution

The fourth proportional to 33,182.64, 49,773.34 and 8,222.74 is: 12,333.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,182.64 : 49,773.34 = 8,222.74 : x
  2. Step 2: Convert to fraction form
    33,182.64/49,773.34 = 8,222.74/x
  3. Step 3: Cross multiply
    33,182.64x = 49,773.34 × 8,222.74
  4. Step 4: Simplify right side
    33,182.64x = 409,273,233.75
  5. Step 5: Solve for x
    x = 409,273,233.75/33,182.64
  6. Step 6: Final answer
    x = 12,333.96

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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.