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Finding the Fourth Proportional to 67,047.44, 100,593.02 and 31,982.54

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Solution

The fourth proportional to 67,047.44, 100,593.02 and 31,982.54 is: 47,984.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,047.44 : 100,593.02 = 31,982.54 : x
  2. Step 2: Convert to fraction form
    67,047.44/100,593.02 = 31,982.54/x
  3. Step 3: Cross multiply
    67,047.44x = 100,593.02 × 31,982.54
  4. Step 4: Simplify right side
    67,047.44x = 3,217,219,622.99
  5. Step 5: Solve for x
    x = 3,217,219,622.99/67,047.44
  6. Step 6: Final answer
    x = 47,984.23

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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.