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Finding the Fourth Proportional to 71,822.43, 107,739.81 and 21,913.74

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Solution

The fourth proportional to 71,822.43, 107,739.81 and 21,913.74 is: 32,872.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,822.43 : 107,739.81 = 21,913.74 : x
  2. Step 2: Convert to fraction form
    71,822.43/107,739.81 = 21,913.74/x
  3. Step 3: Cross multiply
    71,822.43x = 107,739.81 × 21,913.74
  4. Step 4: Simplify right side
    71,822.43x = 2,360,982,183.99
  5. Step 5: Solve for x
    x = 2,360,982,183.99/71,822.43
  6. Step 6: Final answer
    x = 32,872.49

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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.