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Finding the Fourth Proportional to 82,529.65, 113,891.39 and 48,539.57

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Solution

The fourth proportional to 82,529.65, 113,891.39 and 48,539.57 is: 66,984.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,529.65 : 113,891.39 = 48,539.57 : x
  2. Step 2: Convert to fraction form
    82,529.65/113,891.39 = 48,539.57/x
  3. Step 3: Cross multiply
    82,529.65x = 113,891.39 × 48,539.57
  4. Step 4: Simplify right side
    82,529.65x = 5,528,238,285.15
  5. Step 5: Solve for x
    x = 5,528,238,285.15/82,529.65
  6. Step 6: Final answer
    x = 66,984.88

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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.