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Finding the Fourth Proportional to 57,724, 79,660.35 and 31,882.42

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Solution

The fourth proportional to 57,724, 79,660.35 and 31,882.42 is: 43,998.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,724 : 79,660.35 = 31,882.42 : x
  2. Step 2: Convert to fraction form
    57,724/79,660.35 = 31,882.42/x
  3. Step 3: Cross multiply
    57,724x = 79,660.35 × 31,882.42
  4. Step 4: Simplify right side
    57,724x = 2,539,764,736.05
  5. Step 5: Solve for x
    x = 2,539,764,736.05/57,724
  6. Step 6: Final answer
    x = 43,998.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.