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Finding the Fourth Proportional to 69,188.50, 103,782.75 and 22,441.38

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Solution

The fourth proportional to 69,188.50, 103,782.75 and 22,441.38 is: 33,662.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,188.50 : 103,782.75 = 22,441.38 : x
  2. Step 2: Convert to fraction form
    69,188.50/103,782.75 = 22,441.38/x
  3. Step 3: Cross multiply
    69,188.50x = 103,782.75 × 22,441.38
  4. Step 4: Simplify right side
    69,188.50x = 2,329,027,611.28
  5. Step 5: Solve for x
    x = 2,329,027,611.28/69,188.50
  6. Step 6: Final answer
    x = 33,662.06

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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.