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Finding the Fourth Proportional to 50,342.50, 69,474.17 and 27,680.32

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Solution

The fourth proportional to 50,342.50, 69,474.17 and 27,680.32 is: 38,199.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,342.50 : 69,474.17 = 27,680.32 : x
  2. Step 2: Convert to fraction form
    50,342.50/69,474.17 = 27,680.32/x
  3. Step 3: Cross multiply
    50,342.50x = 69,474.17 × 27,680.32
  4. Step 4: Simplify right side
    50,342.50x = 1,923,066,771.56
  5. Step 5: Solve for x
    x = 1,923,066,771.56/50,342.50
  6. Step 6: Final answer
    x = 38,199.67

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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.