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Finding the Fourth Proportional to 106,121.50, 159,183.33 and 32,249.50

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Solution

The fourth proportional to 106,121.50, 159,183.33 and 32,249.50 is: 48,374.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,121.50 : 159,183.33 = 32,249.50 : x
  2. Step 2: Convert to fraction form
    106,121.50/159,183.33 = 32,249.50/x
  3. Step 3: Cross multiply
    106,121.50x = 159,183.33 × 32,249.50
  4. Step 4: Simplify right side
    106,121.50x = 5,133,582,800.84
  5. Step 5: Solve for x
    x = 5,133,582,800.84/106,121.50
  6. Step 6: Final answer
    x = 48,374.58

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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.