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Finding the Fourth Proportional to 73,223.38, 109,835.07 and 17,819.38

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Solution

The fourth proportional to 73,223.38, 109,835.07 and 17,819.38 is: 26,729.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,223.38 : 109,835.07 = 17,819.38 : x
  2. Step 2: Convert to fraction form
    73,223.38/109,835.07 = 17,819.38/x
  3. Step 3: Cross multiply
    73,223.38x = 109,835.07 × 17,819.38
  4. Step 4: Simplify right side
    73,223.38x = 1,957,192,211.38
  5. Step 5: Solve for x
    x = 1,957,192,211.38/73,223.38
  6. Step 6: Final answer
    x = 26,729.06

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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.