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Finding the Fourth Proportional to 50,729.68, 76,096.41 and 17,449.48

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Solution

The fourth proportional to 50,729.68, 76,096.41 and 17,449.48 is: 26,174.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,729.68 : 76,096.41 = 17,449.48 : x
  2. Step 2: Convert to fraction form
    50,729.68/76,096.41 = 17,449.48/x
  3. Step 3: Cross multiply
    50,729.68x = 76,096.41 × 17,449.48
  4. Step 4: Simplify right side
    50,729.68x = 1,327,842,784.37
  5. Step 5: Solve for x
    x = 1,327,842,784.37/50,729.68
  6. Step 6: Final answer
    x = 26,174.87

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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.