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Finding the Fourth Proportional to 73,178.24, 109,817.22 and 33,735.68

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Solution

The fourth proportional to 73,178.24, 109,817.22 and 33,735.68 is: 50,626.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,178.24 : 109,817.22 = 33,735.68 : x
  2. Step 2: Convert to fraction form
    73,178.24/109,817.22 = 33,735.68/x
  3. Step 3: Cross multiply
    73,178.24x = 109,817.22 × 33,735.68
  4. Step 4: Simplify right side
    73,178.24x = 3,704,758,592.41
  5. Step 5: Solve for x
    x = 3,704,758,592.41/73,178.24
  6. Step 6: Final answer
    x = 50,626.51

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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.