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Finding the Fourth Proportional to 33,406.64, 50,109.92 and 13,685.23

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Solution

The fourth proportional to 33,406.64, 50,109.92 and 13,685.23 is: 20,527.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,406.64 : 50,109.92 = 13,685.23 : x
  2. Step 2: Convert to fraction form
    33,406.64/50,109.92 = 13,685.23/x
  3. Step 3: Cross multiply
    33,406.64x = 50,109.92 × 13,685.23
  4. Step 4: Simplify right side
    33,406.64x = 685,765,780.48
  5. Step 5: Solve for x
    x = 685,765,780.48/33,406.64
  6. Step 6: Final answer
    x = 20,527.83

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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.