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Finding the Fourth Proportional to 73,205.24, 109,723.08 and 33,679.40

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Solution

The fourth proportional to 73,205.24, 109,723.08 and 33,679.40 is: 50,480.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,205.24 : 109,723.08 = 33,679.40 : x
  2. Step 2: Convert to fraction form
    73,205.24/109,723.08 = 33,679.40/x
  3. Step 3: Cross multiply
    73,205.24x = 109,723.08 × 33,679.40
  4. Step 4: Simplify right side
    73,205.24x = 3,695,407,500.55
  5. Step 5: Solve for x
    x = 3,695,407,500.55/73,205.24
  6. Step 6: Final answer
    x = 50,480.10

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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.