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Finding the Fourth Proportional to 50,487.30, 69,672.94 and 27,827.09

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Solution

The fourth proportional to 50,487.30, 69,672.94 and 27,827.09 is: 38,401.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,487.30 : 69,672.94 = 27,827.09 : x
  2. Step 2: Convert to fraction form
    50,487.30/69,672.94 = 27,827.09/x
  3. Step 3: Cross multiply
    50,487.30x = 69,672.94 × 27,827.09
  4. Step 4: Simplify right side
    50,487.30x = 1,938,795,563.72
  5. Step 5: Solve for x
    x = 1,938,795,563.72/50,487.30
  6. Step 6: Final answer
    x = 38,401.65

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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.