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Finding the Fourth Proportional to 82,231.57, 113,497.10 and 51,997.51

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Solution

The fourth proportional to 82,231.57, 113,497.10 and 51,997.51 is: 71,767.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,231.57 : 113,497.10 = 51,997.51 : x
  2. Step 2: Convert to fraction form
    82,231.57/113,497.10 = 51,997.51/x
  3. Step 3: Cross multiply
    82,231.57x = 113,497.10 × 51,997.51
  4. Step 4: Simplify right side
    82,231.57x = 5,901,566,592.22
  5. Step 5: Solve for x
    x = 5,901,566,592.22/82,231.57
  6. Step 6: Final answer
    x = 71,767.65

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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.