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Finding the Fourth Proportional to 109,996.44, 164,997.90 and 31,102.44

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Solution

The fourth proportional to 109,996.44, 164,997.90 and 31,102.44 is: 46,654.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,996.44 : 164,997.90 = 31,102.44 : x
  2. Step 2: Convert to fraction form
    109,996.44/164,997.90 = 31,102.44/x
  3. Step 3: Cross multiply
    109,996.44x = 164,997.90 × 31,102.44
  4. Step 4: Simplify right side
    109,996.44x = 5,131,837,284.88
  5. Step 5: Solve for x
    x = 5,131,837,284.88/109,996.44
  6. Step 6: Final answer
    x = 46,654.58

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1.5x scale

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.