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Finding the Fourth Proportional to 33,402.08, 50,104.74 and 27,548

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Solution

The fourth proportional to 33,402.08, 50,104.74 and 27,548 is: 41,323.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,402.08 : 50,104.74 = 27,548 : x
  2. Step 2: Convert to fraction form
    33,402.08/50,104.74 = 27,548/x
  3. Step 3: Cross multiply
    33,402.08x = 50,104.74 × 27,548
  4. Step 4: Simplify right side
    33,402.08x = 1,380,285,377.52
  5. Step 5: Solve for x
    x = 1,380,285,377.52/33,402.08
  6. Step 6: Final answer
    x = 41,323.34

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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.