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Finding the Fourth Proportional to 82,231.30, 113,472.34 and 48,236.21

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Solution

The fourth proportional to 82,231.30, 113,472.34 and 48,236.21 is: 66,561.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,231.30 : 113,472.34 = 48,236.21 : x
  2. Step 2: Convert to fraction form
    82,231.30/113,472.34 = 48,236.21/x
  3. Step 3: Cross multiply
    82,231.30x = 113,472.34 × 48,236.21
  4. Step 4: Simplify right side
    82,231.30x = 5,473,475,630.33
  5. Step 5: Solve for x
    x = 5,473,475,630.33/82,231.30
  6. Step 6: Final answer
    x = 66,561.95

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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.