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Finding the Fourth Proportional to 50,789.86, 76,193.62 and 21,228.46

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Solution

The fourth proportional to 50,789.86, 76,193.62 and 21,228.46 is: 31,846.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,789.86 : 76,193.62 = 21,228.46 : x
  2. Step 2: Convert to fraction form
    50,789.86/76,193.62 = 21,228.46/x
  3. Step 3: Cross multiply
    50,789.86x = 76,193.62 × 21,228.46
  4. Step 4: Simplify right side
    50,789.86x = 1,617,473,214.43
  5. Step 5: Solve for x
    x = 1,617,473,214.43/50,789.86
  6. Step 6: Final answer
    x = 31,846.38

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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.