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Finding the Fourth Proportional to 53,067.78, 73,216.17 and 30,409.38

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Solution

The fourth proportional to 53,067.78, 73,216.17 and 30,409.38 is: 41,954.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,067.78 : 73,216.17 = 30,409.38 : x
  2. Step 2: Convert to fraction form
    53,067.78/73,216.17 = 30,409.38/x
  3. Step 3: Cross multiply
    53,067.78x = 73,216.17 × 30,409.38
  4. Step 4: Simplify right side
    53,067.78x = 2,226,458,335.67
  5. Step 5: Solve for x
    x = 2,226,458,335.67/53,067.78
  6. Step 6: Final answer
    x = 41,954.99

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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.