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Finding the Fourth Proportional to 33,224.49, 49,836.96 and 8,264.57

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Solution

The fourth proportional to 33,224.49, 49,836.96 and 8,264.57 is: 12,396.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,224.49 : 49,836.96 = 8,264.57 : x
  2. Step 2: Convert to fraction form
    33,224.49/49,836.96 = 8,264.57/x
  3. Step 3: Cross multiply
    33,224.49x = 49,836.96 × 8,264.57
  4. Step 4: Simplify right side
    33,224.49x = 411,880,795.32
  5. Step 5: Solve for x
    x = 411,880,795.32/33,224.49
  6. Step 6: Final answer
    x = 12,396.90

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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.