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Finding the Fourth Proportional to 33,457.14, 50,194.89 and 27,201.60

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Solution

The fourth proportional to 33,457.14, 50,194.89 and 27,201.60 is: 40,809.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,457.14 : 50,194.89 = 27,201.60 : x
  2. Step 2: Convert to fraction form
    33,457.14/50,194.89 = 27,201.60/x
  3. Step 3: Cross multiply
    33,457.14x = 50,194.89 × 27,201.60
  4. Step 4: Simplify right side
    33,457.14x = 1,365,381,319.82
  5. Step 5: Solve for x
    x = 1,365,381,319.82/33,457.14
  6. Step 6: Final answer
    x = 40,809.86

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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.