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Finding the Fourth Proportional to 54,693.99, 82,042.74 and 17,254.41

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Solution

The fourth proportional to 54,693.99, 82,042.74 and 17,254.41 is: 25,882.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,693.99 : 82,042.74 = 17,254.41 : x
  2. Step 2: Convert to fraction form
    54,693.99/82,042.74 = 17,254.41/x
  3. Step 3: Cross multiply
    54,693.99x = 82,042.74 × 17,254.41
  4. Step 4: Simplify right side
    54,693.99x = 1,415,599,073.48
  5. Step 5: Solve for x
    x = 1,415,599,073.48/54,693.99
  6. Step 6: Final answer
    x = 25,882.17

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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.