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Finding the Fourth Proportional to 50,205, 69,286.14 and 27,849

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Solution

The fourth proportional to 50,205, 69,286.14 and 27,849 is: 38,433.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,205 : 69,286.14 = 27,849 : x
  2. Step 2: Convert to fraction form
    50,205/69,286.14 = 27,849/x
  3. Step 3: Cross multiply
    50,205x = 69,286.14 × 27,849
  4. Step 4: Simplify right side
    50,205x = 1,929,549,712.86
  5. Step 5: Solve for x
    x = 1,929,549,712.86/50,205
  6. Step 6: Final answer
    x = 38,433.42

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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.