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Finding the Fourth Proportional to 110,963.94, 166,447.12 and 32,078.84

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Solution

The fourth proportional to 110,963.94, 166,447.12 and 32,078.84 is: 48,118.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,963.94 : 166,447.12 = 32,078.84 : x
  2. Step 2: Convert to fraction form
    110,963.94/166,447.12 = 32,078.84/x
  3. Step 3: Cross multiply
    110,963.94x = 166,447.12 × 32,078.84
  4. Step 4: Simplify right side
    110,963.94x = 5,339,430,530.94
  5. Step 5: Solve for x
    x = 5,339,430,530.94/110,963.94
  6. Step 6: Final answer
    x = 48,118.61

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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.