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Finding the Fourth Proportional to 30,375.91, 41,891.50 and 19,046.64

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Solution

The fourth proportional to 30,375.91, 41,891.50 and 19,046.64 is: 26,267.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,375.91 : 41,891.50 = 19,046.64 : x
  2. Step 2: Convert to fraction form
    30,375.91/41,891.50 = 19,046.64/x
  3. Step 3: Cross multiply
    30,375.91x = 41,891.50 × 19,046.64
  4. Step 4: Simplify right side
    30,375.91x = 797,892,319.56
  5. Step 5: Solve for x
    x = 797,892,319.56/30,375.91
  6. Step 6: Final answer
    x = 26,267.27

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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.