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Finding the Fourth Proportional to 50,847.56, 76,272.08 and 15,785

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Solution

The fourth proportional to 50,847.56, 76,272.08 and 15,785 is: 23,677.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,847.56 : 76,272.08 = 15,785 : x
  2. Step 2: Convert to fraction form
    50,847.56/76,272.08 = 15,785/x
  3. Step 3: Cross multiply
    50,847.56x = 76,272.08 × 15,785
  4. Step 4: Simplify right side
    50,847.56x = 1,203,954,782.80
  5. Step 5: Solve for x
    x = 1,203,954,782.80/50,847.56
  6. Step 6: Final answer
    x = 23,677.73

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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.