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Finding the Fourth Proportional to 81,109, 111,899.10 and 50,881.96

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Solution

The fourth proportional to 81,109, 111,899.10 and 50,881.96 is: 70,197.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,109 : 111,899.10 = 50,881.96 : x
  2. Step 2: Convert to fraction form
    81,109/111,899.10 = 50,881.96/x
  3. Step 3: Cross multiply
    81,109x = 111,899.10 × 50,881.96
  4. Step 4: Simplify right side
    81,109x = 5,693,645,530.24
  5. Step 5: Solve for x
    x = 5,693,645,530.24/81,109
  6. Step 6: Final answer
    x = 70,197.46

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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.