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Finding the Fourth Proportional to 110,599.21, 165,898.77 and 27,493.21

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Solution

The fourth proportional to 110,599.21, 165,898.77 and 27,493.21 is: 41,239.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,599.21 : 165,898.77 = 27,493.21 : x
  2. Step 2: Convert to fraction form
    110,599.21/165,898.77 = 27,493.21/x
  3. Step 3: Cross multiply
    110,599.21x = 165,898.77 × 27,493.21
  4. Step 4: Simplify right side
    110,599.21x = 4,561,089,722.35
  5. Step 5: Solve for x
    x = 4,561,089,722.35/110,599.21
  6. Step 6: Final answer
    x = 41,239.80

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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.