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Finding the Fourth Proportional to 71,144.04, 106,727.64 and 33,231.21

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Solution

The fourth proportional to 71,144.04, 106,727.64 and 33,231.21 is: 49,852.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,144.04 : 106,727.64 = 33,231.21 : x
  2. Step 2: Convert to fraction form
    71,144.04/106,727.64 = 33,231.21/x
  3. Step 3: Cross multiply
    71,144.04x = 106,727.64 × 33,231.21
  4. Step 4: Simplify right side
    71,144.04x = 3,546,688,617.64
  5. Step 5: Solve for x
    x = 3,546,688,617.64/71,144.04
  6. Step 6: Final answer
    x = 49,852.22

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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.