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Finding the Fourth Proportional to 110,135.60, 165,209.68 and 31,243.64

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Solution

The fourth proportional to 110,135.60, 165,209.68 and 31,243.64 is: 46,867.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,135.60 : 165,209.68 = 31,243.64 : x
  2. Step 2: Convert to fraction form
    110,135.60/165,209.68 = 31,243.64/x
  3. Step 3: Cross multiply
    110,135.60x = 165,209.68 × 31,243.64
  4. Step 4: Simplify right side
    110,135.60x = 5,161,751,766.44
  5. Step 5: Solve for x
    x = 5,161,751,766.44/110,135.60
  6. Step 6: Final answer
    x = 46,867.24

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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.