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Finding the Fourth Proportional to 50,143.50, 75,249.81 and 17,311.50

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Solution

The fourth proportional to 50,143.50, 75,249.81 and 17,311.50 is: 25,979.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,143.50 : 75,249.81 = 17,311.50 : x
  2. Step 2: Convert to fraction form
    50,143.50/75,249.81 = 17,311.50/x
  3. Step 3: Cross multiply
    50,143.50x = 75,249.81 × 17,311.50
  4. Step 4: Simplify right side
    50,143.50x = 1,302,687,085.82
  5. Step 5: Solve for x
    x = 1,302,687,085.82/50,143.50
  6. Step 6: Final answer
    x = 25,979.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.