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Finding the Fourth Proportional to 33,801.56, 50,713.20 and 11,614.40

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Solution

The fourth proportional to 33,801.56, 50,713.20 and 11,614.40 is: 17,425.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,801.56 : 50,713.20 = 11,614.40 : x
  2. Step 2: Convert to fraction form
    33,801.56/50,713.20 = 11,614.40/x
  3. Step 3: Cross multiply
    33,801.56x = 50,713.20 × 11,614.40
  4. Step 4: Simplify right side
    33,801.56x = 589,003,390.08
  5. Step 5: Solve for x
    x = 589,003,390.08/33,801.56
  6. Step 6: Final answer
    x = 17,425.33

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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.