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Finding the Fourth Proportional to 50,833.89, 76,229.24 and 20,827.47

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Solution

The fourth proportional to 50,833.89, 76,229.24 and 20,827.47 is: 31,232.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,833.89 : 76,229.24 = 20,827.47 : x
  2. Step 2: Convert to fraction form
    50,833.89/76,229.24 = 20,827.47/x
  3. Step 3: Cross multiply
    50,833.89x = 76,229.24 × 20,827.47
  4. Step 4: Simplify right side
    50,833.89x = 1,587,662,105.09
  5. Step 5: Solve for x
    x = 1,587,662,105.09/50,833.89
  6. Step 6: Final answer
    x = 31,232.36

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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.