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Finding the Fourth Proportional to 50,693.56, 76,035.22 and 17,859

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Solution

The fourth proportional to 50,693.56, 76,035.22 and 17,859 is: 26,786.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,693.56 : 76,035.22 = 17,859 : x
  2. Step 2: Convert to fraction form
    50,693.56/76,035.22 = 17,859/x
  3. Step 3: Cross multiply
    50,693.56x = 76,035.22 × 17,859
  4. Step 4: Simplify right side
    50,693.56x = 1,357,912,993.98
  5. Step 5: Solve for x
    x = 1,357,912,993.98/50,693.56
  6. Step 6: Final answer
    x = 26,786.70

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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.