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Finding the Fourth Proportional to 69,202.50, 103,723.10 and 31,766.52

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Solution

The fourth proportional to 69,202.50, 103,723.10 and 31,766.52 is: 47,612.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,202.50 : 103,723.10 = 31,766.52 : x
  2. Step 2: Convert to fraction form
    69,202.50/103,723.10 = 31,766.52/x
  3. Step 3: Cross multiply
    69,202.50x = 103,723.10 × 31,766.52
  4. Step 4: Simplify right side
    69,202.50x = 3,294,921,930.61
  5. Step 5: Solve for x
    x = 3,294,921,930.61/69,202.50
  6. Step 6: Final answer
    x = 47,612.76

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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.