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Finding the Fourth Proportional to 81,085, 111,865.96 and 50,857.96

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Solution

The fourth proportional to 81,085, 111,865.96 and 50,857.96 is: 70,164.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,085 : 111,865.96 = 50,857.96 : x
  2. Step 2: Convert to fraction form
    81,085/111,865.96 = 50,857.96/x
  3. Step 3: Cross multiply
    81,085x = 111,865.96 × 50,857.96
  4. Step 4: Simplify right side
    81,085x = 5,689,274,519.04
  5. Step 5: Solve for x
    x = 5,689,274,519.04/81,085
  6. Step 6: Final answer
    x = 70,164.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.