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Finding the Fourth Proportional to 110,419.56, 165,578.38 and 35,525.80

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Solution

The fourth proportional to 110,419.56, 165,578.38 and 35,525.80 is: 53,272.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,419.56 : 165,578.38 = 35,525.80 : x
  2. Step 2: Convert to fraction form
    110,419.56/165,578.38 = 35,525.80/x
  3. Step 3: Cross multiply
    110,419.56x = 165,578.38 × 35,525.80
  4. Step 4: Simplify right side
    110,419.56x = 5,882,304,412.20
  5. Step 5: Solve for x
    x = 5,882,304,412.20/110,419.56
  6. Step 6: Final answer
    x = 53,272.30

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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.