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Finding the Fourth Proportional to 50,404.73, 69,557.98 and 27,743.24

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Solution

The fourth proportional to 50,404.73, 69,557.98 and 27,743.24 is: 38,285.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,404.73 : 69,557.98 = 27,743.24 : x
  2. Step 2: Convert to fraction form
    50,404.73/69,557.98 = 27,743.24/x
  3. Step 3: Cross multiply
    50,404.73x = 69,557.98 × 27,743.24
  4. Step 4: Simplify right side
    50,404.73x = 1,929,763,559.16
  5. Step 5: Solve for x
    x = 1,929,763,559.16/50,404.73
  6. Step 6: Final answer
    x = 38,285.36

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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.