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Finding the Fourth Proportional to 50,396.69, 69,552.09 and 27,740.28

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Solution

The fourth proportional to 50,396.69, 69,552.09 and 27,740.28 is: 38,284.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,396.69 : 69,552.09 = 27,740.28 : x
  2. Step 2: Convert to fraction form
    50,396.69/69,552.09 = 27,740.28/x
  3. Step 3: Cross multiply
    50,396.69x = 69,552.09 × 27,740.28
  4. Step 4: Simplify right side
    50,396.69x = 1,929,394,594.41
  5. Step 5: Solve for x
    x = 1,929,394,594.41/50,396.69
  6. Step 6: Final answer
    x = 38,284.15

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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.