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Finding the Fourth Proportional to 50,514.87, 69,711 and 27,854.76

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Solution

The fourth proportional to 50,514.87, 69,711 and 27,854.76 is: 38,439.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,514.87 : 69,711 = 27,854.76 : x
  2. Step 2: Convert to fraction form
    50,514.87/69,711 = 27,854.76/x
  3. Step 3: Cross multiply
    50,514.87x = 69,711 × 27,854.76
  4. Step 4: Simplify right side
    50,514.87x = 1,941,783,174.36
  5. Step 5: Solve for x
    x = 1,941,783,174.36/50,514.87
  6. Step 6: Final answer
    x = 38,439.83

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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.