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Finding the Fourth Proportional to 110,125.66, 165,199.40 and 35,227

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Solution

The fourth proportional to 110,125.66, 165,199.40 and 35,227 is: 52,843.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,125.66 : 165,199.40 = 35,227 : x
  2. Step 2: Convert to fraction form
    110,125.66/165,199.40 = 35,227/x
  3. Step 3: Cross multiply
    110,125.66x = 165,199.40 × 35,227
  4. Step 4: Simplify right side
    110,125.66x = 5,819,479,263.80
  5. Step 5: Solve for x
    x = 5,819,479,263.80/110,125.66
  6. Step 6: Final answer
    x = 52,843.99

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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.