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Finding the Fourth Proportional to 33,642.64, 50,433.81 and 13,908.58

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Solution

The fourth proportional to 33,642.64, 50,433.81 and 13,908.58 is: 20,850.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,642.64 : 50,433.81 = 13,908.58 : x
  2. Step 2: Convert to fraction form
    33,642.64/50,433.81 = 13,908.58/x
  3. Step 3: Cross multiply
    33,642.64x = 50,433.81 × 13,908.58
  4. Step 4: Simplify right side
    33,642.64x = 701,462,681.09
  5. Step 5: Solve for x
    x = 701,462,681.09/33,642.64
  6. Step 6: Final answer
    x = 20,850.41

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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.