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Finding the Fourth Proportional to 53,801, 74,245.38 and 30,249

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Solution

The fourth proportional to 53,801, 74,245.38 and 30,249 is: 41,743.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,801 : 74,245.38 = 30,249 : x
  2. Step 2: Convert to fraction form
    53,801/74,245.38 = 30,249/x
  3. Step 3: Cross multiply
    53,801x = 74,245.38 × 30,249
  4. Step 4: Simplify right side
    53,801x = 2,245,848,499.62
  5. Step 5: Solve for x
    x = 2,245,848,499.62/53,801
  6. Step 6: Final answer
    x = 41,743.62

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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.