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Finding the Fourth Proportional to 80,468.22, 110,995.62 and 51,825

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Solution

The fourth proportional to 80,468.22, 110,995.62 and 51,825 is: 71,485.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,468.22 : 110,995.62 = 51,825 : x
  2. Step 2: Convert to fraction form
    80,468.22/110,995.62 = 51,825/x
  3. Step 3: Cross multiply
    80,468.22x = 110,995.62 × 51,825
  4. Step 4: Simplify right side
    80,468.22x = 5,752,348,006.50
  5. Step 5: Solve for x
    x = 5,752,348,006.50/80,468.22
  6. Step 6: Final answer
    x = 71,485.96

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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.