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Finding the Fourth Proportional to 50,910.76, 76,327.74 and 33,385

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Solution

The fourth proportional to 50,910.76, 76,327.74 and 33,385 is: 50,052.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,910.76 : 76,327.74 = 33,385 : x
  2. Step 2: Convert to fraction form
    50,910.76/76,327.74 = 33,385/x
  3. Step 3: Cross multiply
    50,910.76x = 76,327.74 × 33,385
  4. Step 4: Simplify right side
    50,910.76x = 2,548,201,599.90
  5. Step 5: Solve for x
    x = 2,548,201,599.90/50,910.76
  6. Step 6: Final answer
    x = 50,052.32

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