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Finding the Fourth Proportional to 33,976.68, 50,967.60 and 9,016.22

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Solution

The fourth proportional to 33,976.68, 50,967.60 and 9,016.22 is: 13,525.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,976.68 : 50,967.60 = 9,016.22 : x
  2. Step 2: Convert to fraction form
    33,976.68/50,967.60 = 9,016.22/x
  3. Step 3: Cross multiply
    33,976.68x = 50,967.60 × 9,016.22
  4. Step 4: Simplify right side
    33,976.68x = 459,535,188.08
  5. Step 5: Solve for x
    x = 459,535,188.08/33,976.68
  6. Step 6: Final answer
    x = 13,525.02

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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.