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Finding the Fourth Proportional to 50,487.38, 69,672.24 and 27,826.39

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Solution

The fourth proportional to 50,487.38, 69,672.24 and 27,826.39 is: 38,400.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,487.38 : 69,672.24 = 27,826.39 : x
  2. Step 2: Convert to fraction form
    50,487.38/69,672.24 = 27,826.39/x
  3. Step 3: Cross multiply
    50,487.38x = 69,672.24 × 27,826.39
  4. Step 4: Simplify right side
    50,487.38x = 1,938,726,578.47
  5. Step 5: Solve for x
    x = 1,938,726,578.47/50,487.38
  6. Step 6: Final answer
    x = 38,400.22

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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.