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Finding the Fourth Proportional to 50,912.32, 76,359.68 and 13,472.80

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Solution

The fourth proportional to 50,912.32, 76,359.68 and 13,472.80 is: 20,206.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,912.32 : 76,359.68 = 13,472.80 : x
  2. Step 2: Convert to fraction form
    50,912.32/76,359.68 = 13,472.80/x
  3. Step 3: Cross multiply
    50,912.32x = 76,359.68 × 13,472.80
  4. Step 4: Simplify right side
    50,912.32x = 1,028,778,696.70
  5. Step 5: Solve for x
    x = 1,028,778,696.70/50,912.32
  6. Step 6: Final answer
    x = 20,206.87

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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.