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Finding the Fourth Proportional to 110,657.80, 165,965.10 and 36,785.80

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Solution

The fourth proportional to 110,657.80, 165,965.10 and 36,785.80 is: 55,171.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,657.80 : 165,965.10 = 36,785.80 : x
  2. Step 2: Convert to fraction form
    110,657.80/165,965.10 = 36,785.80/x
  3. Step 3: Cross multiply
    110,657.80x = 165,965.10 × 36,785.80
  4. Step 4: Simplify right side
    110,657.80x = 6,105,158,975.58
  5. Step 5: Solve for x
    x = 6,105,158,975.58/110,657.80
  6. Step 6: Final answer
    x = 55,171.52

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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.