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Finding the Fourth Proportional to 68,675.24, 94,764 and 38,456.36

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Solution

The fourth proportional to 68,675.24, 94,764 and 38,456.36 is: 53,065.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,675.24 : 94,764 = 38,456.36 : x
  2. Step 2: Convert to fraction form
    68,675.24/94,764 = 38,456.36/x
  3. Step 3: Cross multiply
    68,675.24x = 94,764 × 38,456.36
  4. Step 4: Simplify right side
    68,675.24x = 3,644,278,499.04
  5. Step 5: Solve for x
    x = 3,644,278,499.04/68,675.24
  6. Step 6: Final answer
    x = 53,065.39

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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.