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Finding the Fourth Proportional to 41,134.86, 56,766.15 and 22,272

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Solution

The fourth proportional to 41,134.86, 56,766.15 and 22,272 is: 30,735.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,134.86 : 56,766.15 = 22,272 : x
  2. Step 2: Convert to fraction form
    41,134.86/56,766.15 = 22,272/x
  3. Step 3: Cross multiply
    41,134.86x = 56,766.15 × 22,272
  4. Step 4: Simplify right side
    41,134.86x = 1,264,295,692.80
  5. Step 5: Solve for x
    x = 1,264,295,692.80/41,134.86
  6. Step 6: Final answer
    x = 30,735.38

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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.