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Finding the Fourth Proportional to 50,209, 69,291.68 and 27,853

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Solution

The fourth proportional to 50,209, 69,291.68 and 27,853 is: 38,438.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,209 : 69,291.68 = 27,853 : x
  2. Step 2: Convert to fraction form
    50,209/69,291.68 = 27,853/x
  3. Step 3: Cross multiply
    50,209x = 69,291.68 × 27,853
  4. Step 4: Simplify right side
    50,209x = 1,929,981,163.04
  5. Step 5: Solve for x
    x = 1,929,981,163.04/50,209
  6. Step 6: Final answer
    x = 38,438.95

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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.