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Finding the Fourth Proportional to 50,851.98, 76,277.14 and 15,791.67

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Solution

The fourth proportional to 50,851.98, 76,277.14 and 15,791.67 is: 23,687.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,851.98 : 76,277.14 = 15,791.67 : x
  2. Step 2: Convert to fraction form
    50,851.98/76,277.14 = 15,791.67/x
  3. Step 3: Cross multiply
    50,851.98x = 76,277.14 × 15,791.67
  4. Step 4: Simplify right side
    50,851.98x = 1,204,543,423.42
  5. Step 5: Solve for x
    x = 1,204,543,423.42/50,851.98
  6. Step 6: Final answer
    x = 23,687.25

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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.