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Finding the Fourth Proportional to 73,197.50, 109,794.41 and 33,754.58

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Solution

The fourth proportional to 73,197.50, 109,794.41 and 33,754.58 is: 50,631.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,197.50 : 109,794.41 = 33,754.58 : x
  2. Step 2: Convert to fraction form
    73,197.50/109,794.41 = 33,754.58/x
  3. Step 3: Cross multiply
    73,197.50x = 109,794.41 × 33,754.58
  4. Step 4: Simplify right side
    73,197.50x = 3,706,063,478.15
  5. Step 5: Solve for x
    x = 3,706,063,478.15/73,197.50
  6. Step 6: Final answer
    x = 50,631.02

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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.