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Finding the Fourth Proportional to 50,251.44, 69,344.28 and 27,894

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Solution

The fourth proportional to 50,251.44, 69,344.28 and 27,894 is: 38,492.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,251.44 : 69,344.28 = 27,894 : x
  2. Step 2: Convert to fraction form
    50,251.44/69,344.28 = 27,894/x
  3. Step 3: Cross multiply
    50,251.44x = 69,344.28 × 27,894
  4. Step 4: Simplify right side
    50,251.44x = 1,934,289,346.32
  5. Step 5: Solve for x
    x = 1,934,289,346.32/50,251.44
  6. Step 6: Final answer
    x = 38,492.22

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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.