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Finding the Fourth Proportional to 69,517.82, 104,196.02 and 31,999.12

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Solution

The fourth proportional to 69,517.82, 104,196.02 and 31,999.12 is: 47,961.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,517.82 : 104,196.02 = 31,999.12 : x
  2. Step 2: Convert to fraction form
    69,517.82/104,196.02 = 31,999.12/x
  3. Step 3: Cross multiply
    69,517.82x = 104,196.02 × 31,999.12
  4. Step 4: Simplify right side
    69,517.82x = 3,334,180,947.50
  5. Step 5: Solve for x
    x = 3,334,180,947.50/69,517.82
  6. Step 6: Final answer
    x = 47,961.53

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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.