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Finding the Fourth Proportional to 71,194.14, 106,788.78 and 33,772.14

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Solution

The fourth proportional to 71,194.14, 106,788.78 and 33,772.14 is: 50,657.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,194.14 : 106,788.78 = 33,772.14 : x
  2. Step 2: Convert to fraction form
    71,194.14/106,788.78 = 33,772.14/x
  3. Step 3: Cross multiply
    71,194.14x = 106,788.78 × 33,772.14
  4. Step 4: Simplify right side
    71,194.14x = 3,606,485,628.59
  5. Step 5: Solve for x
    x = 3,606,485,628.59/71,194.14
  6. Step 6: Final answer
    x = 50,657.06

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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.