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Finding the Fourth Proportional to 38,481.68, 53,134.78 and 29,514.98

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Solution

The fourth proportional to 38,481.68, 53,134.78 and 29,514.98 is: 40,753.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,481.68 : 53,134.78 = 29,514.98 : x
  2. Step 2: Convert to fraction form
    38,481.68/53,134.78 = 29,514.98/x
  3. Step 3: Cross multiply
    38,481.68x = 53,134.78 × 29,514.98
  4. Step 4: Simplify right side
    38,481.68x = 1,568,271,969.00
  5. Step 5: Solve for x
    x = 1,568,271,969.00/38,481.68
  6. Step 6: Final answer
    x = 40,753.73

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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.