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Finding the Fourth Proportional to 100,235.91, 150,329.52 and 33,658.77

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Solution

The fourth proportional to 100,235.91, 150,329.52 and 33,658.77 is: 50,479.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,235.91 : 150,329.52 = 33,658.77 : x
  2. Step 2: Convert to fraction form
    100,235.91/150,329.52 = 33,658.77/x
  3. Step 3: Cross multiply
    100,235.91x = 150,329.52 × 33,658.77
  4. Step 4: Simplify right side
    100,235.91x = 5,059,906,737.89
  5. Step 5: Solve for x
    x = 5,059,906,737.89/100,235.91
  6. Step 6: Final answer
    x = 50,479.98

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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.