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Finding the Fourth Proportional to 80,294.48, 110,858.37 and 51,627

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Solution

The fourth proportional to 80,294.48, 110,858.37 and 51,627 is: 71,278.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,294.48 : 110,858.37 = 51,627 : x
  2. Step 2: Convert to fraction form
    80,294.48/110,858.37 = 51,627/x
  3. Step 3: Cross multiply
    80,294.48x = 110,858.37 × 51,627
  4. Step 4: Simplify right side
    80,294.48x = 5,723,285,067.99
  5. Step 5: Solve for x
    x = 5,723,285,067.99/80,294.48
  6. Step 6: Final answer
    x = 71,278.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.