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Finding the Fourth Proportional to 73,309.25, 109,956.58 and 33,865.80

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Solution

The fourth proportional to 73,309.25, 109,956.58 and 33,865.80 is: 50,795.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,309.25 : 109,956.58 = 33,865.80 : x
  2. Step 2: Convert to fraction form
    73,309.25/109,956.58 = 33,865.80/x
  3. Step 3: Cross multiply
    73,309.25x = 109,956.58 × 33,865.80
  4. Step 4: Simplify right side
    73,309.25x = 3,723,767,546.96
  5. Step 5: Solve for x
    x = 3,723,767,546.96/73,309.25
  6. Step 6: Final answer
    x = 50,795.33

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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.