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Finding the Fourth Proportional to 82,191.76, 113,388.51 and 48,182.98

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Solution

The fourth proportional to 82,191.76, 113,388.51 and 48,182.98 is: 66,471.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,191.76 : 113,388.51 = 48,182.98 : x
  2. Step 2: Convert to fraction form
    82,191.76/113,388.51 = 48,182.98/x
  3. Step 3: Cross multiply
    82,191.76x = 113,388.51 × 48,182.98
  4. Step 4: Simplify right side
    82,191.76x = 5,463,396,309.56
  5. Step 5: Solve for x
    x = 5,463,396,309.56/82,191.76
  6. Step 6: Final answer
    x = 66,471.34

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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.