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Finding the Fourth Proportional to 71,136.72, 106,736.04 and 33,723

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Solution

The fourth proportional to 71,136.72, 106,736.04 and 33,723 is: 50,599.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,136.72 : 106,736.04 = 33,723 : x
  2. Step 2: Convert to fraction form
    71,136.72/106,736.04 = 33,723/x
  3. Step 3: Cross multiply
    71,136.72x = 106,736.04 × 33,723
  4. Step 4: Simplify right side
    71,136.72x = 3,599,459,476.92
  5. Step 5: Solve for x
    x = 3,599,459,476.92/71,136.72
  6. Step 6: Final answer
    x = 50,599.18

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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.