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Finding the Fourth Proportional to 110,540.44, 165,843.06 and 35,659.18

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Solution

The fourth proportional to 110,540.44, 165,843.06 and 35,659.18 is: 53,499.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,540.44 : 165,843.06 = 35,659.18 : x
  2. Step 2: Convert to fraction form
    110,540.44/165,843.06 = 35,659.18/x
  3. Step 3: Cross multiply
    110,540.44x = 165,843.06 × 35,659.18
  4. Step 4: Simplify right side
    110,540.44x = 5,913,827,528.29
  5. Step 5: Solve for x
    x = 5,913,827,528.29/110,540.44
  6. Step 6: Final answer
    x = 53,499.22

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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.