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Finding the Fourth Proportional to 33,156.18, 49,735.25 and 8,196.21

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Solution

The fourth proportional to 33,156.18, 49,735.25 and 8,196.21 is: 12,294.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,156.18 : 49,735.25 = 8,196.21 : x
  2. Step 2: Convert to fraction form
    33,156.18/49,735.25 = 8,196.21/x
  3. Step 3: Cross multiply
    33,156.18x = 49,735.25 × 8,196.21
  4. Step 4: Simplify right side
    33,156.18x = 407,640,512.42
  5. Step 5: Solve for x
    x = 407,640,512.42/33,156.18
  6. Step 6: Final answer
    x = 12,294.56

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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.