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Finding the Fourth Proportional to 33,716.14, 50,549.25 and 16,169.26

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Solution

The fourth proportional to 33,716.14, 50,549.25 and 16,169.26 is: 24,241.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,716.14 : 50,549.25 = 16,169.26 : x
  2. Step 2: Convert to fraction form
    33,716.14/50,549.25 = 16,169.26/x
  3. Step 3: Cross multiply
    33,716.14x = 50,549.25 × 16,169.26
  4. Step 4: Simplify right side
    33,716.14x = 817,343,966.06
  5. Step 5: Solve for x
    x = 817,343,966.06/33,716.14
  6. Step 6: Final answer
    x = 24,241.92

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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.