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Finding the Fourth Proportional to 69,847.02, 96,383.25 and 48,672

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Solution

The fourth proportional to 69,847.02, 96,383.25 and 48,672 is: 67,163.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,847.02 : 96,383.25 = 48,672 : x
  2. Step 2: Convert to fraction form
    69,847.02/96,383.25 = 48,672/x
  3. Step 3: Cross multiply
    69,847.02x = 96,383.25 × 48,672
  4. Step 4: Simplify right side
    69,847.02x = 4,691,165,544
  5. Step 5: Solve for x
    x = 4,691,165,544/69,847.02
  6. Step 6: Final answer
    x = 67,163.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.