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Finding the Fourth Proportional to 69,201.50, 103,721.60 and 31,765.52

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Solution

The fourth proportional to 69,201.50, 103,721.60 and 31,765.52 is: 47,611.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,201.50 : 103,721.60 = 31,765.52 : x
  2. Step 2: Convert to fraction form
    69,201.50/103,721.60 = 31,765.52/x
  3. Step 3: Cross multiply
    69,201.50x = 103,721.60 × 31,765.52
  4. Step 4: Simplify right side
    69,201.50x = 3,294,770,719.27
  5. Step 5: Solve for x
    x = 3,294,770,719.27/69,201.50
  6. Step 6: Final answer
    x = 47,611.27

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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.