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Finding the Fourth Proportional to 33,657.41, 50,461.82 and 10,271.09

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Solution

The fourth proportional to 33,657.41, 50,461.82 and 10,271.09 is: 15,399.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,657.41 : 50,461.82 = 10,271.09 : x
  2. Step 2: Convert to fraction form
    33,657.41/50,461.82 = 10,271.09/x
  3. Step 3: Cross multiply
    33,657.41x = 50,461.82 × 10,271.09
  4. Step 4: Simplify right side
    33,657.41x = 518,297,843.43
  5. Step 5: Solve for x
    x = 518,297,843.43/33,657.41
  6. Step 6: Final answer
    x = 15,399.22

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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.