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Finding the Fourth Proportional to 110,540.49, 165,843.06 and 35,659.09

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Solution

The fourth proportional to 110,540.49, 165,843.06 and 35,659.09 is: 53,499.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,540.49 : 165,843.06 = 35,659.09 : x
  2. Step 2: Convert to fraction form
    110,540.49/165,843.06 = 35,659.09/x
  3. Step 3: Cross multiply
    110,540.49x = 165,843.06 × 35,659.09
  4. Step 4: Simplify right side
    110,540.49x = 5,913,812,602.42
  5. Step 5: Solve for x
    x = 5,913,812,602.42/110,540.49
  6. Step 6: Final answer
    x = 53,499.06

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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.