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Finding the Fourth Proportional to 110,625.75, 165,924.50 and 35,738.11

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Solution

The fourth proportional to 110,625.75, 165,924.50 and 35,738.11 is: 53,602.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,625.75 : 165,924.50 = 35,738.11 : x
  2. Step 2: Convert to fraction form
    110,625.75/165,924.50 = 35,738.11/x
  3. Step 3: Cross multiply
    110,625.75x = 165,924.50 × 35,738.11
  4. Step 4: Simplify right side
    110,625.75x = 5,929,828,262.44
  5. Step 5: Solve for x
    x = 5,929,828,262.44/110,625.75
  6. Step 6: Final answer
    x = 53,602.60

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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.