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Finding the Fourth Proportional to 101,806.33, 152,729.38 and 30,734.73

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Solution

The fourth proportional to 101,806.33, 152,729.38 and 30,734.73 is: 46,108.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,806.33 : 152,729.38 = 30,734.73 : x
  2. Step 2: Convert to fraction form
    101,806.33/152,729.38 = 30,734.73/x
  3. Step 3: Cross multiply
    101,806.33x = 152,729.38 × 30,734.73
  4. Step 4: Simplify right side
    101,806.33x = 4,694,096,257.37
  5. Step 5: Solve for x
    x = 4,694,096,257.37/101,806.33
  6. Step 6: Final answer
    x = 46,108.10

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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.