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Finding the Fourth Proportional to 110,619.48, 165,906.90 and 31,712.52

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Solution

The fourth proportional to 110,619.48, 165,906.90 and 31,712.52 is: 47,562.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,619.48 : 165,906.90 = 31,712.52 : x
  2. Step 2: Convert to fraction form
    110,619.48/165,906.90 = 31,712.52/x
  3. Step 3: Cross multiply
    110,619.48x = 165,906.90 × 31,712.52
  4. Step 4: Simplify right side
    110,619.48x = 5,261,325,884.39
  5. Step 5: Solve for x
    x = 5,261,325,884.39/110,619.48
  6. Step 6: Final answer
    x = 47,562.38

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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.