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Finding the Fourth Proportional to 33,742.42, 50,616.06 and 12,965.92

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Solution

The fourth proportional to 33,742.42, 50,616.06 and 12,965.92 is: 19,449.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,742.42 : 50,616.06 = 12,965.92 : x
  2. Step 2: Convert to fraction form
    33,742.42/50,616.06 = 12,965.92/x
  3. Step 3: Cross multiply
    33,742.42x = 50,616.06 × 12,965.92
  4. Step 4: Simplify right side
    33,742.42x = 656,283,784.68
  5. Step 5: Solve for x
    x = 656,283,784.68/33,742.42
  6. Step 6: Final answer
    x = 19,449.81

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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.