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Finding the Fourth Proportional to 71,986.83, 107,997.26 and 32,543.88

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Solution

The fourth proportional to 71,986.83, 107,997.26 and 32,543.88 is: 48,823.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,986.83 : 107,997.26 = 32,543.88 : x
  2. Step 2: Convert to fraction form
    71,986.83/107,997.26 = 32,543.88/x
  3. Step 3: Cross multiply
    71,986.83x = 107,997.26 × 32,543.88
  4. Step 4: Simplify right side
    71,986.83x = 3,514,649,707.05
  5. Step 5: Solve for x
    x = 3,514,649,707.05/71,986.83
  6. Step 6: Final answer
    x = 48,823.51

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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.