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Finding the Fourth Proportional to 83,830.44, 125,745.24 and 20,650.44

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Solution

The fourth proportional to 83,830.44, 125,745.24 and 20,650.44 is: 30,975.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,830.44 : 125,745.24 = 20,650.44 : x
  2. Step 2: Convert to fraction form
    83,830.44/125,745.24 = 20,650.44/x
  3. Step 3: Cross multiply
    83,830.44x = 125,745.24 × 20,650.44
  4. Step 4: Simplify right side
    83,830.44x = 2,596,694,533.91
  5. Step 5: Solve for x
    x = 2,596,694,533.91/83,830.44
  6. Step 6: Final answer
    x = 30,975.56

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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.