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Finding the Fourth Proportional to 27,815.96, 41,811.42 and 24,163.67

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Solution

The fourth proportional to 27,815.96, 41,811.42 and 24,163.67 is: 36,321.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,815.96 : 41,811.42 = 24,163.67 : x
  2. Step 2: Convert to fraction form
    27,815.96/41,811.42 = 24,163.67/x
  3. Step 3: Cross multiply
    27,815.96x = 41,811.42 × 24,163.67
  4. Step 4: Simplify right side
    27,815.96x = 1,010,317,355.11
  5. Step 5: Solve for x
    x = 1,010,317,355.11/27,815.96
  6. Step 6: Final answer
    x = 36,321.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.