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Finding the Fourth Proportional to 41,761.86, 62,658.18 and 19,582.44

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Solution

The fourth proportional to 41,761.86, 62,658.18 and 19,582.44 is: 29,380.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,761.86 : 62,658.18 = 19,582.44 : x
  2. Step 2: Convert to fraction form
    41,761.86/62,658.18 = 19,582.44/x
  3. Step 3: Cross multiply
    41,761.86x = 62,658.18 × 19,582.44
  4. Step 4: Simplify right side
    41,761.86x = 1,227,000,050.36
  5. Step 5: Solve for x
    x = 1,227,000,050.36/41,761.86
  6. Step 6: Final answer
    x = 29,380.88

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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.