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Finding the Fourth Proportional to 33,096.70, 49,644.62 and 8,136.97

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Solution

The fourth proportional to 33,096.70, 49,644.62 and 8,136.97 is: 12,205.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,096.70 : 49,644.62 = 8,136.97 : x
  2. Step 2: Convert to fraction form
    33,096.70/49,644.62 = 8,136.97/x
  3. Step 3: Cross multiply
    33,096.70x = 49,644.62 × 8,136.97
  4. Step 4: Simplify right side
    33,096.70x = 403,956,742.02
  5. Step 5: Solve for x
    x = 403,956,742.02/33,096.70
  6. Step 6: Final answer
    x = 12,205.35

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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.