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Finding the Fourth Proportional to 53,507.70, 73,843.29 and 30,850.38

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Solution

The fourth proportional to 53,507.70, 73,843.29 and 30,850.38 is: 42,575.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,507.70 : 73,843.29 = 30,850.38 : x
  2. Step 2: Convert to fraction form
    53,507.70/73,843.29 = 30,850.38/x
  3. Step 3: Cross multiply
    53,507.70x = 73,843.29 × 30,850.38
  4. Step 4: Simplify right side
    53,507.70x = 2,278,093,556.95
  5. Step 5: Solve for x
    x = 2,278,093,556.95/53,507.70
  6. Step 6: Final answer
    x = 42,575.06

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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.