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Finding the Fourth Proportional to 110,181.79, 165,268.86 and 31,295.80

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Solution

The fourth proportional to 110,181.79, 165,268.86 and 31,295.80 is: 46,942.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,181.79 : 165,268.86 = 31,295.80 : x
  2. Step 2: Convert to fraction form
    110,181.79/165,268.86 = 31,295.80/x
  3. Step 3: Cross multiply
    110,181.79x = 165,268.86 × 31,295.80
  4. Step 4: Simplify right side
    110,181.79x = 5,172,221,188.79
  5. Step 5: Solve for x
    x = 5,172,221,188.79/110,181.79
  6. Step 6: Final answer
    x = 46,942.61

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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.