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Finding the Fourth Proportional to 27,438.75, 41,105.54 and 16,311.75

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Solution

The fourth proportional to 27,438.75, 41,105.54 and 16,311.75 is: 24,436.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,438.75 : 41,105.54 = 16,311.75 : x
  2. Step 2: Convert to fraction form
    27,438.75/41,105.54 = 16,311.75/x
  3. Step 3: Cross multiply
    27,438.75x = 41,105.54 × 16,311.75
  4. Step 4: Simplify right side
    27,438.75x = 670,503,210.54
  5. Step 5: Solve for x
    x = 670,503,210.54/27,438.75
  6. Step 6: Final answer
    x = 24,436.36

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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.