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Finding the Fourth Proportional to 33,544.38, 50,322.64 and 13,812.17

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Solution

The fourth proportional to 33,544.38, 50,322.64 and 13,812.17 is: 20,720.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,544.38 : 50,322.64 = 13,812.17 : x
  2. Step 2: Convert to fraction form
    33,544.38/50,322.64 = 13,812.17/x
  3. Step 3: Cross multiply
    33,544.38x = 50,322.64 × 13,812.17
  4. Step 4: Simplify right side
    33,544.38x = 695,064,858.53
  5. Step 5: Solve for x
    x = 695,064,858.53/33,544.38
  6. Step 6: Final answer
    x = 20,720.75

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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.