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Finding the Fourth Proportional to 50,859.96, 76,311 and 27,458.88

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Solution

The fourth proportional to 50,859.96, 76,311 and 27,458.88 is: 41,199.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,859.96 : 76,311 = 27,458.88 : x
  2. Step 2: Convert to fraction form
    50,859.96/76,311 = 27,458.88/x
  3. Step 3: Cross multiply
    50,859.96x = 76,311 × 27,458.88
  4. Step 4: Simplify right side
    50,859.96x = 2,095,414,591.68
  5. Step 5: Solve for x
    x = 2,095,414,591.68/50,859.96
  6. Step 6: Final answer
    x = 41,199.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.