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Finding the Fourth Proportional to 38,753.14, 53,481.09 and 22,838.26

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Solution

The fourth proportional to 38,753.14, 53,481.09 and 22,838.26 is: 31,517.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,753.14 : 53,481.09 = 22,838.26 : x
  2. Step 2: Convert to fraction form
    38,753.14/53,481.09 = 22,838.26/x
  3. Step 3: Cross multiply
    38,753.14x = 53,481.09 × 22,838.26
  4. Step 4: Simplify right side
    38,753.14x = 1,221,415,038.50
  5. Step 5: Solve for x
    x = 1,221,415,038.50/38,753.14
  6. Step 6: Final answer
    x = 31,517.83

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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.