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Finding the Fourth Proportional to 82,158.52, 113,380.38 and 48,193

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Solution

The fourth proportional to 82,158.52, 113,380.38 and 48,193 is: 66,507.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,158.52 : 113,380.38 = 48,193 : x
  2. Step 2: Convert to fraction form
    82,158.52/113,380.38 = 48,193/x
  3. Step 3: Cross multiply
    82,158.52x = 113,380.38 × 48,193
  4. Step 4: Simplify right side
    82,158.52x = 5,464,140,653.34
  5. Step 5: Solve for x
    x = 5,464,140,653.34/82,158.52
  6. Step 6: Final answer
    x = 66,507.29

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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.