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Finding the Fourth Proportional to 50,917.76, 76,338.24 and 33,392

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Solution

The fourth proportional to 50,917.76, 76,338.24 and 33,392 is: 50,062.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,917.76 : 76,338.24 = 33,392 : x
  2. Step 2: Convert to fraction form
    50,917.76/76,338.24 = 33,392/x
  3. Step 3: Cross multiply
    50,917.76x = 76,338.24 × 33,392
  4. Step 4: Simplify right side
    50,917.76x = 2,549,086,510.08
  5. Step 5: Solve for x
    x = 2,549,086,510.08/50,917.76
  6. Step 6: Final answer
    x = 50,062.82

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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.