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Finding the Fourth Proportional to 71,144.72, 106,748.04 and 33,731

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Solution

The fourth proportional to 71,144.72, 106,748.04 and 33,731 is: 50,611.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,144.72 : 106,748.04 = 33,731 : x
  2. Step 2: Convert to fraction form
    71,144.72/106,748.04 = 33,731/x
  3. Step 3: Cross multiply
    71,144.72x = 106,748.04 × 33,731
  4. Step 4: Simplify right side
    71,144.72x = 3,600,718,137.24
  5. Step 5: Solve for x
    x = 3,600,718,137.24/71,144.72
  6. Step 6: Final answer
    x = 50,611.18

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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.