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Finding the Fourth Proportional to 96,311.94, 144,481.73 and 29,757.88

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Solution

The fourth proportional to 96,311.94, 144,481.73 and 29,757.88 is: 44,641.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,311.94 : 144,481.73 = 29,757.88 : x
  2. Step 2: Convert to fraction form
    96,311.94/144,481.73 = 29,757.88/x
  3. Step 3: Cross multiply
    96,311.94x = 144,481.73 × 29,757.88
  4. Step 4: Simplify right side
    96,311.94x = 4,299,470,015.35
  5. Step 5: Solve for x
    x = 4,299,470,015.35/96,311.94
  6. Step 6: Final answer
    x = 44,641.09

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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.