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Finding the Fourth Proportional to 87,057.97, 130,583.31 and 27,892.33

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Solution

The fourth proportional to 87,057.97, 130,583.31 and 27,892.33 is: 41,837.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,057.97 : 130,583.31 = 27,892.33 : x
  2. Step 2: Convert to fraction form
    87,057.97/130,583.31 = 27,892.33/x
  3. Step 3: Cross multiply
    87,057.97x = 130,583.31 × 27,892.33
  4. Step 4: Simplify right side
    87,057.97x = 3,642,272,775.01
  5. Step 5: Solve for x
    x = 3,642,272,775.01/87,057.97
  6. Step 6: Final answer
    x = 41,837.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.