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Finding the Fourth Proportional to 92,161.12, 138,241.44 and 36,796

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Solution

The fourth proportional to 92,161.12, 138,241.44 and 36,796 is: 55,193.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,161.12 : 138,241.44 = 36,796 : x
  2. Step 2: Convert to fraction form
    92,161.12/138,241.44 = 36,796/x
  3. Step 3: Cross multiply
    92,161.12x = 138,241.44 × 36,796
  4. Step 4: Simplify right side
    92,161.12x = 5,086,732,026.24
  5. Step 5: Solve for x
    x = 5,086,732,026.24/92,161.12
  6. Step 6: Final answer
    x = 55,193.90

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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.