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Finding the Fourth Proportional to 75,951.46, 113,806.50 and 50,898.97

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Solution

The fourth proportional to 75,951.46, 113,806.50 and 50,898.97 is: 76,267.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,951.46 : 113,806.50 = 50,898.97 : x
  2. Step 2: Convert to fraction form
    75,951.46/113,806.50 = 50,898.97/x
  3. Step 3: Cross multiply
    75,951.46x = 113,806.50 × 50,898.97
  4. Step 4: Simplify right side
    75,951.46x = 5,792,633,629.31
  5. Step 5: Solve for x
    x = 5,792,633,629.31/75,951.46
  6. Step 6: Final answer
    x = 76,267.57

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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.