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Finding the Fourth Proportional to 110,716.30, 165,961.05 and 54,469.90

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Solution

The fourth proportional to 110,716.30, 165,961.05 and 54,469.90 is: 81,649.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,716.30 : 165,961.05 = 54,469.90 : x
  2. Step 2: Convert to fraction form
    110,716.30/165,961.05 = 54,469.90/x
  3. Step 3: Cross multiply
    110,716.30x = 165,961.05 × 54,469.90
  4. Step 4: Simplify right side
    110,716.30x = 9,039,881,797.40
  5. Step 5: Solve for x
    x = 9,039,881,797.40/110,716.30
  6. Step 6: Final answer
    x = 81,649.06

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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.