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Finding the Fourth Proportional to 30,739.54, 42,144.07 and 30,179.12

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Solution

The fourth proportional to 30,739.54, 42,144.07 and 30,179.12 is: 41,375.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,739.54 : 42,144.07 = 30,179.12 : x
  2. Step 2: Convert to fraction form
    30,739.54/42,144.07 = 30,179.12/x
  3. Step 3: Cross multiply
    30,739.54x = 42,144.07 × 30,179.12
  4. Step 4: Simplify right side
    30,739.54x = 1,271,870,584.20
  5. Step 5: Solve for x
    x = 1,271,870,584.20/30,739.54
  6. Step 6: Final answer
    x = 41,375.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.