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Finding the Fourth Proportional to 33,268.50, 49,907.88 and 13,548.42

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Solution

The fourth proportional to 33,268.50, 49,907.88 and 13,548.42 is: 20,324.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,268.50 : 49,907.88 = 13,548.42 : x
  2. Step 2: Convert to fraction form
    33,268.50/49,907.88 = 13,548.42/x
  3. Step 3: Cross multiply
    33,268.50x = 49,907.88 × 13,548.42
  4. Step 4: Simplify right side
    33,268.50x = 676,172,919.55
  5. Step 5: Solve for x
    x = 676,172,919.55/33,268.50
  6. Step 6: Final answer
    x = 20,324.72

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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.