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Finding the Fourth Proportional to 50,046.90, 69,061.73 and 27,381.39

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Solution

The fourth proportional to 50,046.90, 69,061.73 and 27,381.39 is: 37,784.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,046.90 : 69,061.73 = 27,381.39 : x
  2. Step 2: Convert to fraction form
    50,046.90/69,061.73 = 27,381.39/x
  3. Step 3: Cross multiply
    50,046.90x = 69,061.73 × 27,381.39
  4. Step 4: Simplify right side
    50,046.90x = 1,891,006,163.20
  5. Step 5: Solve for x
    x = 1,891,006,163.20/50,046.90
  6. Step 6: Final answer
    x = 37,784.68

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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.