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Finding the Fourth Proportional to 50,855.56, 76,288.26 and 15,785.80

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Solution

The fourth proportional to 50,855.56, 76,288.26 and 15,785.80 is: 23,680.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,855.56 : 76,288.26 = 15,785.80 : x
  2. Step 2: Convert to fraction form
    50,855.56/76,288.26 = 15,785.80/x
  3. Step 3: Cross multiply
    50,855.56x = 76,288.26 × 15,785.80
  4. Step 4: Simplify right side
    50,855.56x = 1,204,271,214.71
  5. Step 5: Solve for x
    x = 1,204,271,214.71/50,855.56
  6. Step 6: Final answer
    x = 23,680.23

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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.