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Finding the Fourth Proportional to 100,219.32, 150,323.70 and 33,660.81

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Solution

The fourth proportional to 100,219.32, 150,323.70 and 33,660.81 is: 50,489.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,219.32 : 150,323.70 = 33,660.81 : x
  2. Step 2: Convert to fraction form
    100,219.32/150,323.70 = 33,660.81/x
  3. Step 3: Cross multiply
    100,219.32x = 150,323.70 × 33,660.81
  4. Step 4: Simplify right side
    100,219.32x = 5,060,017,504.20
  5. Step 5: Solve for x
    x = 5,060,017,504.20/100,219.32
  6. Step 6: Final answer
    x = 50,489.44

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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.