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Finding the Fourth Proportional to 101,949.22, 152,923.83 and 31,834.54

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Solution

The fourth proportional to 101,949.22, 152,923.83 and 31,834.54 is: 47,751.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,949.22 : 152,923.83 = 31,834.54 : x
  2. Step 2: Convert to fraction form
    101,949.22/152,923.83 = 31,834.54/x
  3. Step 3: Cross multiply
    101,949.22x = 152,923.83 × 31,834.54
  4. Step 4: Simplify right side
    101,949.22x = 4,868,259,783.09
  5. Step 5: Solve for x
    x = 4,868,259,783.09/101,949.22
  6. Step 6: Final answer
    x = 47,751.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.