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Finding the Fourth Proportional to 33,500.66, 50,251.19 and 11,314.15

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Solution

The fourth proportional to 33,500.66, 50,251.19 and 11,314.15 is: 16,971.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,500.66 : 50,251.19 = 11,314.15 : x
  2. Step 2: Convert to fraction form
    33,500.66/50,251.19 = 11,314.15/x
  3. Step 3: Cross multiply
    33,500.66x = 50,251.19 × 11,314.15
  4. Step 4: Simplify right side
    33,500.66x = 568,549,319.14
  5. Step 5: Solve for x
    x = 568,549,319.14/33,500.66
  6. Step 6: Final answer
    x = 16,971.29

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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.