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Finding the Fourth Proportional to 51,218.46, 76,766.34 and 33,457.56

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Solution

The fourth proportional to 51,218.46, 76,766.34 and 33,457.56 is: 50,146.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,218.46 : 76,766.34 = 33,457.56 : x
  2. Step 2: Convert to fraction form
    51,218.46/76,766.34 = 33,457.56/x
  3. Step 3: Cross multiply
    51,218.46x = 76,766.34 × 33,457.56
  4. Step 4: Simplify right side
    51,218.46x = 2,568,414,426.53
  5. Step 5: Solve for x
    x = 2,568,414,426.53/51,218.46
  6. Step 6: Final answer
    x = 50,146.26

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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.