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Finding the Fourth Proportional to 50,377.86, 75,582.54 and 20,809.62

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Solution

The fourth proportional to 50,377.86, 75,582.54 and 20,809.62 is: 31,220.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,377.86 : 75,582.54 = 20,809.62 : x
  2. Step 2: Convert to fraction form
    50,377.86/75,582.54 = 20,809.62/x
  3. Step 3: Cross multiply
    50,377.86x = 75,582.54 × 20,809.62
  4. Step 4: Simplify right side
    50,377.86x = 1,572,843,936.03
  5. Step 5: Solve for x
    x = 1,572,843,936.03/50,377.86
  6. Step 6: Final answer
    x = 31,220.94

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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.