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Finding the Fourth Proportional to 50,042.94, 75,093.57 and 20,456.34

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Solution

The fourth proportional to 50,042.94, 75,093.57 and 20,456.34 is: 30,696.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,042.94 : 75,093.57 = 20,456.34 : x
  2. Step 2: Convert to fraction form
    50,042.94/75,093.57 = 20,456.34/x
  3. Step 3: Cross multiply
    50,042.94x = 75,093.57 × 20,456.34
  4. Step 4: Simplify right side
    50,042.94x = 1,536,139,599.73
  5. Step 5: Solve for x
    x = 1,536,139,599.73/50,042.94
  6. Step 6: Final answer
    x = 30,696.43

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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.