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Finding the Fourth Proportional to 110,998.62, 166,453.92 and 47,823.48

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Solution

The fourth proportional to 110,998.62, 166,453.92 and 47,823.48 is: 71,716.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,998.62 : 166,453.92 = 47,823.48 : x
  2. Step 2: Convert to fraction form
    110,998.62/166,453.92 = 47,823.48/x
  3. Step 3: Cross multiply
    110,998.62x = 166,453.92 × 47,823.48
  4. Step 4: Simplify right side
    110,998.62x = 7,960,405,714.04
  5. Step 5: Solve for x
    x = 7,960,405,714.04/110,998.62
  6. Step 6: Final answer
    x = 71,716.26

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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.