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Finding the Fourth Proportional to 50,496.42, 69,689.04 and 27,839.42

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Solution

The fourth proportional to 50,496.42, 69,689.04 and 27,839.42 is: 38,420.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,496.42 : 69,689.04 = 27,839.42 : x
  2. Step 2: Convert to fraction form
    50,496.42/69,689.04 = 27,839.42/x
  3. Step 3: Cross multiply
    50,496.42x = 69,689.04 × 27,839.42
  4. Step 4: Simplify right side
    50,496.42x = 1,940,102,453.96
  5. Step 5: Solve for x
    x = 1,940,102,453.96/50,496.42
  6. Step 6: Final answer
    x = 38,420.59

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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.