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Finding the Fourth Proportional to 73,223.30, 109,842.24 and 33,791.70

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Solution

The fourth proportional to 73,223.30, 109,842.24 and 33,791.70 is: 50,690.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,223.30 : 109,842.24 = 33,791.70 : x
  2. Step 2: Convert to fraction form
    73,223.30/109,842.24 = 33,791.70/x
  3. Step 3: Cross multiply
    73,223.30x = 109,842.24 × 33,791.70
  4. Step 4: Simplify right side
    73,223.30x = 3,711,756,021.41
  5. Step 5: Solve for x
    x = 3,711,756,021.41/73,223.30
  6. Step 6: Final answer
    x = 50,690.91

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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.