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Finding the Fourth Proportional to 50,069, 75,054.06 and 27,892.82

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Solution

The fourth proportional to 50,069, 75,054.06 and 27,892.82 is: 41,811.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,069 : 75,054.06 = 27,892.82 : x
  2. Step 2: Convert to fraction form
    50,069/75,054.06 = 27,892.82/x
  3. Step 3: Cross multiply
    50,069x = 75,054.06 × 27,892.82
  4. Step 4: Simplify right side
    50,069x = 2,093,469,385.85
  5. Step 5: Solve for x
    x = 2,093,469,385.85/50,069
  6. Step 6: Final answer
    x = 41,811.69

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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.