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Finding the Fourth Proportional to 41,174.38, 56,820.84 and 22,311.50

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Solution

The fourth proportional to 41,174.38, 56,820.84 and 22,311.50 is: 30,789.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,174.38 : 56,820.84 = 22,311.50 : x
  2. Step 2: Convert to fraction form
    41,174.38/56,820.84 = 22,311.50/x
  3. Step 3: Cross multiply
    41,174.38x = 56,820.84 × 22,311.50
  4. Step 4: Simplify right side
    41,174.38x = 1,267,758,171.66
  5. Step 5: Solve for x
    x = 1,267,758,171.66/41,174.38
  6. Step 6: Final answer
    x = 30,789.98

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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.