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Finding the Fourth Proportional to 110,594.60, 165,891.90 and 31,704.20

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Solution

The fourth proportional to 110,594.60, 165,891.90 and 31,704.20 is: 47,556.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,594.60 : 165,891.90 = 31,704.20 : x
  2. Step 2: Convert to fraction form
    110,594.60/165,891.90 = 31,704.20/x
  3. Step 3: Cross multiply
    110,594.60x = 165,891.90 × 31,704.20
  4. Step 4: Simplify right side
    110,594.60x = 5,259,469,975.98
  5. Step 5: Solve for x
    x = 5,259,469,975.98/110,594.60
  6. Step 6: Final answer
    x = 47,556.30

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1.5x scale

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.