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Finding the Fourth Proportional to 50,195, 69,269.10 and 27,839

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Solution

The fourth proportional to 50,195, 69,269.10 and 27,839 is: 38,417.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,195 : 69,269.10 = 27,839 : x
  2. Step 2: Convert to fraction form
    50,195/69,269.10 = 27,839/x
  3. Step 3: Cross multiply
    50,195x = 69,269.10 × 27,839
  4. Step 4: Simplify right side
    50,195x = 1,928,382,474.90
  5. Step 5: Solve for x
    x = 1,928,382,474.90/50,195
  6. Step 6: Final answer
    x = 38,417.82

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1.5x scale

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.