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Finding the Fourth Proportional to 33,833.28, 50,710.11 and 13,830.44

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Solution

The fourth proportional to 33,833.28, 50,710.11 and 13,830.44 is: 20,729.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,833.28 : 50,710.11 = 13,830.44 : x
  2. Step 2: Convert to fraction form
    33,833.28/50,710.11 = 13,830.44/x
  3. Step 3: Cross multiply
    33,833.28x = 50,710.11 × 13,830.44
  4. Step 4: Simplify right side
    33,833.28x = 701,342,880.20
  5. Step 5: Solve for x
    x = 701,342,880.20/33,833.28
  6. Step 6: Final answer
    x = 20,729.38

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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.