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Finding the Fourth Proportional to 36,982, 55,486.96 and 22,201.22

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Solution

The fourth proportional to 36,982, 55,486.96 and 22,201.22 is: 33,310.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,982 : 55,486.96 = 22,201.22 : x
  2. Step 2: Convert to fraction form
    36,982/55,486.96 = 22,201.22/x
  3. Step 3: Cross multiply
    36,982x = 55,486.96 × 22,201.22
  4. Step 4: Simplify right side
    36,982x = 1,231,878,206.09
  5. Step 5: Solve for x
    x = 1,231,878,206.09/36,982
  6. Step 6: Final answer
    x = 33,310.21

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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.