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Finding the Fourth Proportional to 50,341.82, 69,471.96 and 27,682.27

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Solution

The fourth proportional to 50,341.82, 69,471.96 and 27,682.27 is: 38,201.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,341.82 : 69,471.96 = 27,682.27 : x
  2. Step 2: Convert to fraction form
    50,341.82/69,471.96 = 27,682.27/x
  3. Step 3: Cross multiply
    50,341.82x = 69,471.96 × 27,682.27
  4. Step 4: Simplify right side
    50,341.82x = 1,923,141,380.47
  5. Step 5: Solve for x
    x = 1,923,141,380.47/50,341.82
  6. Step 6: Final answer
    x = 38,201.67

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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.