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Finding the Fourth Proportional to 30,739.79, 42,144.41 and 30,179.37

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Solution

The fourth proportional to 30,739.79, 42,144.41 and 30,179.37 is: 41,376.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,739.79 : 42,144.41 = 30,179.37 : x
  2. Step 2: Convert to fraction form
    30,739.79/42,144.41 = 30,179.37/x
  3. Step 3: Cross multiply
    30,739.79x = 42,144.41 × 30,179.37
  4. Step 4: Simplify right side
    30,739.79x = 1,271,891,591.92
  5. Step 5: Solve for x
    x = 1,271,891,591.92/30,739.79
  6. Step 6: Final answer
    x = 41,376.07

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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.