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Finding the Fourth Proportional to 110,540.96, 165,843.75 and 35,659.46

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Solution

The fourth proportional to 110,540.96, 165,843.75 and 35,659.46 is: 53,499.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,540.96 : 165,843.75 = 35,659.46 : x
  2. Step 2: Convert to fraction form
    110,540.96/165,843.75 = 35,659.46/x
  3. Step 3: Cross multiply
    110,540.96x = 165,843.75 × 35,659.46
  4. Step 4: Simplify right side
    110,540.96x = 5,913,897,740.16
  5. Step 5: Solve for x
    x = 5,913,897,740.16/110,540.96
  6. Step 6: Final answer
    x = 53,499.61

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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.