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Finding the Fourth Proportional to 110,519.76, 165,775.50 and 31,633.80

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Solution

The fourth proportional to 110,519.76, 165,775.50 and 31,633.80 is: 47,449.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,519.76 : 165,775.50 = 31,633.80 : x
  2. Step 2: Convert to fraction form
    110,519.76/165,775.50 = 31,633.80/x
  3. Step 3: Cross multiply
    110,519.76x = 165,775.50 × 31,633.80
  4. Step 4: Simplify right side
    110,519.76x = 5,244,109,011.90
  5. Step 5: Solve for x
    x = 5,244,109,011.90/110,519.76
  6. Step 6: Final answer
    x = 47,449.52

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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.