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Finding the Fourth Proportional to 81,212.81, 121,839.97 and 33,812.14

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Solution

The fourth proportional to 81,212.81, 121,839.97 and 33,812.14 is: 50,726.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,212.81 : 121,839.97 = 33,812.14 : x
  2. Step 2: Convert to fraction form
    81,212.81/121,839.97 = 33,812.14/x
  3. Step 3: Cross multiply
    81,212.81x = 121,839.97 × 33,812.14
  4. Step 4: Simplify right side
    81,212.81x = 4,119,669,734.11
  5. Step 5: Solve for x
    x = 4,119,669,734.11/81,212.81
  6. Step 6: Final answer
    x = 50,726.85

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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.