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Finding the Fourth Proportional to 50,170.24, 69,234.72 and 27,814.24

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Solution

The fourth proportional to 50,170.24, 69,234.72 and 27,814.24 is: 38,383.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,170.24 : 69,234.72 = 27,814.24 : x
  2. Step 2: Convert to fraction form
    50,170.24/69,234.72 = 27,814.24/x
  3. Step 3: Cross multiply
    50,170.24x = 69,234.72 × 27,814.24
  4. Step 4: Simplify right side
    50,170.24x = 1,925,711,118.41
  5. Step 5: Solve for x
    x = 1,925,711,118.41/50,170.24
  6. Step 6: Final answer
    x = 38,383.53

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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.