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Finding the Fourth Proportional to 73,205.70, 109,735.65 and 33,693.90

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Solution

The fourth proportional to 73,205.70, 109,735.65 and 33,693.90 is: 50,507.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,205.70 : 109,735.65 = 33,693.90 : x
  2. Step 2: Convert to fraction form
    73,205.70/109,735.65 = 33,693.90/x
  3. Step 3: Cross multiply
    73,205.70x = 109,735.65 × 33,693.90
  4. Step 4: Simplify right side
    73,205.70x = 3,697,422,017.54
  5. Step 5: Solve for x
    x = 3,697,422,017.54/73,205.70
  6. Step 6: Final answer
    x = 50,507.30

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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.