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Finding the Fourth Proportional to 100,596.68, 150,869.91 and 30,474.98

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Solution

The fourth proportional to 100,596.68, 150,869.91 and 30,474.98 is: 45,704.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,596.68 : 150,869.91 = 30,474.98 : x
  2. Step 2: Convert to fraction form
    100,596.68/150,869.91 = 30,474.98/x
  3. Step 3: Cross multiply
    100,596.68x = 150,869.91 × 30,474.98
  4. Step 4: Simplify right side
    100,596.68x = 4,597,757,489.85
  5. Step 5: Solve for x
    x = 4,597,757,489.85/100,596.68
  6. Step 6: Final answer
    x = 45,704.86

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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.