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Finding the Fourth Proportional to 34,201.92, 51,380.74 and 24,743.42

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Solution

The fourth proportional to 34,201.92, 51,380.74 and 24,743.42 is: 37,171.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,201.92 : 51,380.74 = 24,743.42 : x
  2. Step 2: Convert to fraction form
    34,201.92/51,380.74 = 24,743.42/x
  3. Step 3: Cross multiply
    34,201.92x = 51,380.74 × 24,743.42
  4. Step 4: Simplify right side
    34,201.92x = 1,271,335,229.73
  5. Step 5: Solve for x
    x = 1,271,335,229.73/34,201.92
  6. Step 6: Final answer
    x = 37,171.46

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1.5x scale

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.