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Finding the Fourth Proportional to 67,232.35, 100,825.02 and 19,834.86

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Solution

The fourth proportional to 67,232.35, 100,825.02 and 19,834.86 is: 29,745.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,232.35 : 100,825.02 = 19,834.86 : x
  2. Step 2: Convert to fraction form
    67,232.35/100,825.02 = 19,834.86/x
  3. Step 3: Cross multiply
    67,232.35x = 100,825.02 × 19,834.86
  4. Step 4: Simplify right side
    67,232.35x = 1,999,850,282.23
  5. Step 5: Solve for x
    x = 1,999,850,282.23/67,232.35
  6. Step 6: Final answer
    x = 29,745.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.