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Finding the Fourth Proportional to 82,633.44, 113,997.48 and 49,080

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Solution

The fourth proportional to 82,633.44, 113,997.48 and 49,080 is: 67,708.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,633.44 : 113,997.48 = 49,080 : x
  2. Step 2: Convert to fraction form
    82,633.44/113,997.48 = 49,080/x
  3. Step 3: Cross multiply
    82,633.44x = 113,997.48 × 49,080
  4. Step 4: Simplify right side
    82,633.44x = 5,594,996,318.40
  5. Step 5: Solve for x
    x = 5,594,996,318.40/82,633.44
  6. Step 6: Final answer
    x = 67,708.62

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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.