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Finding the Fourth Proportional to 82,382.96, 113,620.80 and 50,529.44

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Solution

The fourth proportional to 82,382.96, 113,620.80 and 50,529.44 is: 69,689.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,382.96 : 113,620.80 = 50,529.44 : x
  2. Step 2: Convert to fraction form
    82,382.96/113,620.80 = 50,529.44/x
  3. Step 3: Cross multiply
    82,382.96x = 113,620.80 × 50,529.44
  4. Step 4: Simplify right side
    82,382.96x = 5,741,195,396.35
  5. Step 5: Solve for x
    x = 5,741,195,396.35/82,382.96
  6. Step 6: Final answer
    x = 69,689.11

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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.