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Finding the Fourth Proportional to 82,010.62, 113,175.05 and 46,201.20

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Solution

The fourth proportional to 82,010.62, 113,175.05 and 46,201.20 is: 63,757.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,010.62 : 113,175.05 = 46,201.20 : x
  2. Step 2: Convert to fraction form
    82,010.62/113,175.05 = 46,201.20/x
  3. Step 3: Cross multiply
    82,010.62x = 113,175.05 × 46,201.20
  4. Step 4: Simplify right side
    82,010.62x = 5,228,823,120.06
  5. Step 5: Solve for x
    x = 5,228,823,120.06/82,010.62
  6. Step 6: Final answer
    x = 63,757.88

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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.