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Finding the Fourth Proportional to 80,415.41, 120,623.11 and 33,022.43

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Solution

The fourth proportional to 80,415.41, 120,623.11 and 33,022.43 is: 49,533.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,415.41 : 120,623.11 = 33,022.43 : x
  2. Step 2: Convert to fraction form
    80,415.41/120,623.11 = 33,022.43/x
  3. Step 3: Cross multiply
    80,415.41x = 120,623.11 × 33,022.43
  4. Step 4: Simplify right side
    80,415.41x = 3,983,268,206.36
  5. Step 5: Solve for x
    x = 3,983,268,206.36/80,415.41
  6. Step 6: Final answer
    x = 49,533.64

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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.