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Finding the Fourth Proportional to 80,643.66, 120,976.42 and 28,046.31

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Solution

The fourth proportional to 80,643.66, 120,976.42 and 28,046.31 is: 42,073.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,643.66 : 120,976.42 = 28,046.31 : x
  2. Step 2: Convert to fraction form
    80,643.66/120,976.42 = 28,046.31/x
  3. Step 3: Cross multiply
    80,643.66x = 120,976.42 × 28,046.31
  4. Step 4: Simplify right side
    80,643.66x = 3,392,942,178.01
  5. Step 5: Solve for x
    x = 3,392,942,178.01/80,643.66
  6. Step 6: Final answer
    x = 42,073.27

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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.