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Finding the Fourth Proportional to 109,579.22, 164,380.16 and 34,709.56

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Solution

The fourth proportional to 109,579.22, 164,380.16 and 34,709.56 is: 52,067.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,579.22 : 164,380.16 = 34,709.56 : x
  2. Step 2: Convert to fraction form
    109,579.22/164,380.16 = 34,709.56/x
  3. Step 3: Cross multiply
    109,579.22x = 164,380.16 × 34,709.56
  4. Step 4: Simplify right side
    109,579.22x = 5,705,563,026.33
  5. Step 5: Solve for x
    x = 5,705,563,026.33/109,579.22
  6. Step 6: Final answer
    x = 52,067.93

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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.