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Finding the Fourth Proportional to 50,315.50, 69,435.43 and 27,654.31

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Solution

The fourth proportional to 50,315.50, 69,435.43 and 27,654.31 is: 38,162.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,315.50 : 69,435.43 = 27,654.31 : x
  2. Step 2: Convert to fraction form
    50,315.50/69,435.43 = 27,654.31/x
  3. Step 3: Cross multiply
    50,315.50x = 69,435.43 × 27,654.31
  4. Step 4: Simplify right side
    50,315.50x = 1,920,188,923.86
  5. Step 5: Solve for x
    x = 1,920,188,923.86/50,315.50
  6. Step 6: Final answer
    x = 38,162.97

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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.