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Finding the Fourth Proportional to 33,131.34, 49,697.04 and 8,171.80

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Solution

The fourth proportional to 33,131.34, 49,697.04 and 8,171.80 is: 12,257.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,131.34 : 49,697.04 = 8,171.80 : x
  2. Step 2: Convert to fraction form
    33,131.34/49,697.04 = 8,171.80/x
  3. Step 3: Cross multiply
    33,131.34x = 49,697.04 × 8,171.80
  4. Step 4: Simplify right side
    33,131.34x = 406,114,271.47
  5. Step 5: Solve for x
    x = 406,114,271.47/33,131.34
  6. Step 6: Final answer
    x = 12,257.71

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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.