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Finding the Fourth Proportional to 38,908.14, 53,693.55 and 22,142.22

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Solution

The fourth proportional to 38,908.14, 53,693.55 and 22,142.22 is: 30,556.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,908.14 : 53,693.55 = 22,142.22 : x
  2. Step 2: Convert to fraction form
    38,908.14/53,693.55 = 22,142.22/x
  3. Step 3: Cross multiply
    38,908.14x = 53,693.55 × 22,142.22
  4. Step 4: Simplify right side
    38,908.14x = 1,188,894,396.68
  5. Step 5: Solve for x
    x = 1,188,894,396.68/38,908.14
  6. Step 6: Final answer
    x = 30,556.44

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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.