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Finding the Fourth Proportional to 73,225.70, 109,799.04 and 33,222.85

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Solution

The fourth proportional to 73,225.70, 109,799.04 and 33,222.85 is: 49,816.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,225.70 : 109,799.04 = 33,222.85 : x
  2. Step 2: Convert to fraction form
    73,225.70/109,799.04 = 33,222.85/x
  3. Step 3: Cross multiply
    73,225.70x = 109,799.04 × 33,222.85
  4. Step 4: Simplify right side
    73,225.70x = 3,647,837,658.18
  5. Step 5: Solve for x
    x = 3,647,837,658.18/73,225.70
  6. Step 6: Final answer
    x = 49,816.35

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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.