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Finding the Fourth Proportional to 67,137.30, 100,733.22 and 33,867

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Solution

The fourth proportional to 67,137.30, 100,733.22 and 33,867 is: 50,814.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,137.30 : 100,733.22 = 33,867 : x
  2. Step 2: Convert to fraction form
    67,137.30/100,733.22 = 33,867/x
  3. Step 3: Cross multiply
    67,137.30x = 100,733.22 × 33,867
  4. Step 4: Simplify right side
    67,137.30x = 3,411,531,961.74
  5. Step 5: Solve for x
    x = 3,411,531,961.74/67,137.30
  6. Step 6: Final answer
    x = 50,814.26

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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.