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Finding the Fourth Proportional to 50,498.27, 75,729.70 and 27,697.55

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Solution

The fourth proportional to 50,498.27, 75,729.70 and 27,697.55 is: 41,536.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,498.27 : 75,729.70 = 27,697.55 : x
  2. Step 2: Convert to fraction form
    50,498.27/75,729.70 = 27,697.55/x
  3. Step 3: Cross multiply
    50,498.27x = 75,729.70 × 27,697.55
  4. Step 4: Simplify right side
    50,498.27x = 2,097,526,704.34
  5. Step 5: Solve for x
    x = 2,097,526,704.34/50,498.27
  6. Step 6: Final answer
    x = 41,536.60

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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.