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Finding the Fourth Proportional to 107,672.52, 161,514.36 and 32,786.88

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Solution

The fourth proportional to 107,672.52, 161,514.36 and 32,786.88 is: 49,182.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,672.52 : 161,514.36 = 32,786.88 : x
  2. Step 2: Convert to fraction form
    107,672.52/161,514.36 = 32,786.88/x
  3. Step 3: Cross multiply
    107,672.52x = 161,514.36 × 32,786.88
  4. Step 4: Simplify right side
    107,672.52x = 5,295,551,939.60
  5. Step 5: Solve for x
    x = 5,295,551,939.60/107,672.52
  6. Step 6: Final answer
    x = 49,182.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.