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Finding the Fourth Proportional to 57,033.46, 78,693.81 and 31,882.10

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Solution

The fourth proportional to 57,033.46, 78,693.81 and 31,882.10 is: 43,990.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,033.46 : 78,693.81 = 31,882.10 : x
  2. Step 2: Convert to fraction form
    57,033.46/78,693.81 = 31,882.10/x
  3. Step 3: Cross multiply
    57,033.46x = 78,693.81 × 31,882.10
  4. Step 4: Simplify right side
    57,033.46x = 2,508,923,919.80
  5. Step 5: Solve for x
    x = 2,508,923,919.80/57,033.46
  6. Step 6: Final answer
    x = 43,990.39

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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.