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Finding the Fourth Proportional to 110,213.82, 165,348.50 and 31,328.05

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Solution

The fourth proportional to 110,213.82, 165,348.50 and 31,328.05 is: 46,999.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,213.82 : 165,348.50 = 31,328.05 : x
  2. Step 2: Convert to fraction form
    110,213.82/165,348.50 = 31,328.05/x
  3. Step 3: Cross multiply
    110,213.82x = 165,348.50 × 31,328.05
  4. Step 4: Simplify right side
    110,213.82x = 5,180,045,248.68
  5. Step 5: Solve for x
    x = 5,180,045,248.68/110,213.82
  6. Step 6: Final answer
    x = 46,999.96

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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.