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Finding the Fourth Proportional to 32,761.83, 45,198.48 and 20,164.71

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Solution

The fourth proportional to 32,761.83, 45,198.48 and 20,164.71 is: 27,819.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,761.83 : 45,198.48 = 20,164.71 : x
  2. Step 2: Convert to fraction form
    32,761.83/45,198.48 = 20,164.71/x
  3. Step 3: Cross multiply
    32,761.83x = 45,198.48 × 20,164.71
  4. Step 4: Simplify right side
    32,761.83x = 911,414,241.64
  5. Step 5: Solve for x
    x = 911,414,241.64/32,761.83
  6. Step 6: Final answer
    x = 27,819.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.