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Finding the Fourth Proportional to 33,381.68, 50,072.48 and 13,400.16

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Solution

The fourth proportional to 33,381.68, 50,072.48 and 13,400.16 is: 20,100.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,381.68 : 50,072.48 = 13,400.16 : x
  2. Step 2: Convert to fraction form
    33,381.68/50,072.48 = 13,400.16/x
  3. Step 3: Cross multiply
    33,381.68x = 50,072.48 × 13,400.16
  4. Step 4: Simplify right side
    33,381.68x = 670,979,243.60
  5. Step 5: Solve for x
    x = 670,979,243.60/33,381.68
  6. Step 6: Final answer
    x = 20,100.22

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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.