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Finding the Fourth Proportional to 27,813.96, 41,808.42 and 24,161.67

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Solution

The fourth proportional to 27,813.96, 41,808.42 and 24,161.67 is: 36,318.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,813.96 : 41,808.42 = 24,161.67 : x
  2. Step 2: Convert to fraction form
    27,813.96/41,808.42 = 24,161.67/x
  3. Step 3: Cross multiply
    27,813.96x = 41,808.42 × 24,161.67
  4. Step 4: Simplify right side
    27,813.96x = 1,010,161,247.26
  5. Step 5: Solve for x
    x = 1,010,161,247.26/27,813.96
  6. Step 6: Final answer
    x = 36,318.50

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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.