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Finding the Fourth Proportional to 27,610.49, 38,107.47 and 16,279.31

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Solution

The fourth proportional to 27,610.49, 38,107.47 and 16,279.31 is: 22,468.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,610.49 : 38,107.47 = 16,279.31 : x
  2. Step 2: Convert to fraction form
    27,610.49/38,107.47 = 16,279.31/x
  3. Step 3: Cross multiply
    27,610.49x = 38,107.47 × 16,279.31
  4. Step 4: Simplify right side
    27,610.49x = 620,363,317.45
  5. Step 5: Solve for x
    x = 620,363,317.45/27,610.49
  6. Step 6: Final answer
    x = 22,468.39

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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.