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Finding the Fourth Proportional to 53,694.38, 74,092.82 and 31,351.34

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Solution

The fourth proportional to 53,694.38, 74,092.82 and 31,351.34 is: 43,261.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,694.38 : 74,092.82 = 31,351.34 : x
  2. Step 2: Convert to fraction form
    53,694.38/74,092.82 = 31,351.34/x
  3. Step 3: Cross multiply
    53,694.38x = 74,092.82 × 31,351.34
  4. Step 4: Simplify right side
    53,694.38x = 2,322,909,191.38
  5. Step 5: Solve for x
    x = 2,322,909,191.38/53,694.38
  6. Step 6: Final answer
    x = 43,261.68

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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.