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Finding the Fourth Proportional to 50,890.44, 70,227.14 and 30,743.80

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Solution

The fourth proportional to 50,890.44, 70,227.14 and 30,743.80 is: 42,425.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,890.44 : 70,227.14 = 30,743.80 : x
  2. Step 2: Convert to fraction form
    50,890.44/70,227.14 = 30,743.80/x
  3. Step 3: Cross multiply
    50,890.44x = 70,227.14 × 30,743.80
  4. Step 4: Simplify right side
    50,890.44x = 2,159,049,146.73
  5. Step 5: Solve for x
    x = 2,159,049,146.73/50,890.44
  6. Step 6: Final answer
    x = 42,425.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.