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Finding the Fourth Proportional to 110,161.98, 165,249.24 and 31,270

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Solution

The fourth proportional to 110,161.98, 165,249.24 and 31,270 is: 46,906.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,161.98 : 165,249.24 = 31,270 : x
  2. Step 2: Convert to fraction form
    110,161.98/165,249.24 = 31,270/x
  3. Step 3: Cross multiply
    110,161.98x = 165,249.24 × 31,270
  4. Step 4: Simplify right side
    110,161.98x = 5,167,343,734.80
  5. Step 5: Solve for x
    x = 5,167,343,734.80/110,161.98
  6. Step 6: Final answer
    x = 46,906.78

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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.