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Finding the Fourth Proportional to 100,232.29, 150,350.46 and 37,019.83

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Solution

The fourth proportional to 100,232.29, 150,350.46 and 37,019.83 is: 55,530.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,232.29 : 150,350.46 = 37,019.83 : x
  2. Step 2: Convert to fraction form
    100,232.29/150,350.46 = 37,019.83/x
  3. Step 3: Cross multiply
    100,232.29x = 150,350.46 × 37,019.83
  4. Step 4: Simplify right side
    100,232.29x = 5,565,948,469.62
  5. Step 5: Solve for x
    x = 5,565,948,469.62/100,232.29
  6. Step 6: Final answer
    x = 55,530.49

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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.