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Finding the Fourth Proportional to 110,380.33, 165,598.44 and 31,494.84

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Solution

The fourth proportional to 110,380.33, 165,598.44 and 31,494.84 is: 47,250.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,380.33 : 165,598.44 = 31,494.84 : x
  2. Step 2: Convert to fraction form
    110,380.33/165,598.44 = 31,494.84/x
  3. Step 3: Cross multiply
    110,380.33x = 165,598.44 × 31,494.84
  4. Step 4: Simplify right side
    110,380.33x = 5,215,496,372.05
  5. Step 5: Solve for x
    x = 5,215,496,372.05/110,380.33
  6. Step 6: Final answer
    x = 47,250.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.