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Finding the Fourth Proportional to 30,195.50, 41,665.34 and 16,766.87

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Solution

The fourth proportional to 30,195.50, 41,665.34 and 16,766.87 is: 23,135.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,195.50 : 41,665.34 = 16,766.87 : x
  2. Step 2: Convert to fraction form
    30,195.50/41,665.34 = 16,766.87/x
  3. Step 3: Cross multiply
    30,195.50x = 41,665.34 × 16,766.87
  4. Step 4: Simplify right side
    30,195.50x = 698,597,172.88
  5. Step 5: Solve for x
    x = 698,597,172.88/30,195.50
  6. Step 6: Final answer
    x = 23,135.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.