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Finding the Fourth Proportional to 50,480.42, 75,721.84 and 20,890.31

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Solution

The fourth proportional to 50,480.42, 75,721.84 and 20,890.31 is: 31,335.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,480.42 : 75,721.84 = 20,890.31 : x
  2. Step 2: Convert to fraction form
    50,480.42/75,721.84 = 20,890.31/x
  3. Step 3: Cross multiply
    50,480.42x = 75,721.84 × 20,890.31
  4. Step 4: Simplify right side
    50,480.42x = 1,581,852,280.54
  5. Step 5: Solve for x
    x = 1,581,852,280.54/50,480.42
  6. Step 6: Final answer
    x = 31,335.96

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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.