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Finding the Fourth Proportional to 33,742.82, 50,645.06 and 17,114.33

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Solution

The fourth proportional to 33,742.82, 50,645.06 and 17,114.33 is: 25,687.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,742.82 : 50,645.06 = 17,114.33 : x
  2. Step 2: Convert to fraction form
    33,742.82/50,645.06 = 17,114.33/x
  3. Step 3: Cross multiply
    33,742.82x = 50,645.06 × 17,114.33
  4. Step 4: Simplify right side
    33,742.82x = 866,756,374.93
  5. Step 5: Solve for x
    x = 866,756,374.93/33,742.82
  6. Step 6: Final answer
    x = 25,687.13

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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.