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Finding the Fourth Proportional to 33,684.93, 50,538.33 and 16,156.13

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Solution

The fourth proportional to 33,684.93, 50,538.33 and 16,156.13 is: 24,239.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,684.93 : 50,538.33 = 16,156.13 : x
  2. Step 2: Convert to fraction form
    33,684.93/50,538.33 = 16,156.13/x
  3. Step 3: Cross multiply
    33,684.93x = 50,538.33 × 16,156.13
  4. Step 4: Simplify right side
    33,684.93x = 816,503,576.77
  5. Step 5: Solve for x
    x = 816,503,576.77/33,684.93
  6. Step 6: Final answer
    x = 24,239.43

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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.