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Finding the Fourth Proportional to 75,812.28, 113,716.87 and 33,680.94

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Solution

The fourth proportional to 75,812.28, 113,716.87 and 33,680.94 is: 50,520.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,812.28 : 113,716.87 = 33,680.94 : x
  2. Step 2: Convert to fraction form
    75,812.28/113,716.87 = 33,680.94/x
  3. Step 3: Cross multiply
    75,812.28x = 113,716.87 × 33,680.94
  4. Step 4: Simplify right side
    75,812.28x = 3,830,091,607.15
  5. Step 5: Solve for x
    x = 3,830,091,607.15/75,812.28
  6. Step 6: Final answer
    x = 50,520.73

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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.