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Finding the Fourth Proportional to 110,379.83, 165,597.69 and 31,494.34

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Solution

The fourth proportional to 110,379.83, 165,597.69 and 31,494.34 is: 47,249.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,379.83 : 165,597.69 = 31,494.34 : x
  2. Step 2: Convert to fraction form
    110,379.83/165,597.69 = 31,494.34/x
  3. Step 3: Cross multiply
    110,379.83x = 165,597.69 × 31,494.34
  4. Step 4: Simplify right side
    110,379.83x = 5,215,389,124.09
  5. Step 5: Solve for x
    x = 5,215,389,124.09/110,379.83
  6. Step 6: Final answer
    x = 47,249.48

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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.