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Finding the Fourth Proportional to 33,784.26, 50,674.32 and 10,091.88

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Solution

The fourth proportional to 33,784.26, 50,674.32 and 10,091.88 is: 15,137.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,784.26 : 50,674.32 = 10,091.88 : x
  2. Step 2: Convert to fraction form
    33,784.26/50,674.32 = 10,091.88/x
  3. Step 3: Cross multiply
    33,784.26x = 50,674.32 × 10,091.88
  4. Step 4: Simplify right side
    33,784.26x = 511,399,156.52
  5. Step 5: Solve for x
    x = 511,399,156.52/33,784.26
  6. Step 6: Final answer
    x = 15,137.20

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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.