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Finding the Fourth Proportional to 54,914.34, 82,375 and 19,371.26

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Solution

The fourth proportional to 54,914.34, 82,375 and 19,371.26 is: 29,058.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,914.34 : 82,375 = 19,371.26 : x
  2. Step 2: Convert to fraction form
    54,914.34/82,375 = 19,371.26/x
  3. Step 3: Cross multiply
    54,914.34x = 82,375 × 19,371.26
  4. Step 4: Simplify right side
    54,914.34x = 1,595,707,542.50
  5. Step 5: Solve for x
    x = 1,595,707,542.50/54,914.34
  6. Step 6: Final answer
    x = 29,058.12

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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.