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Finding the Fourth Proportional to 49,542, 68,367.96 and 27,187.44

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Solution

The fourth proportional to 49,542, 68,367.96 and 27,187.44 is: 37,518.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,542 : 68,367.96 = 27,187.44 : x
  2. Step 2: Convert to fraction form
    49,542/68,367.96 = 27,187.44/x
  3. Step 3: Cross multiply
    49,542x = 68,367.96 × 27,187.44
  4. Step 4: Simplify right side
    49,542x = 1,858,749,810.42
  5. Step 5: Solve for x
    x = 1,858,749,810.42/49,542
  6. Step 6: Final answer
    x = 37,518.67

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Why These Related Problems?

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