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Finding the Fourth Proportional to 110,957.10, 166,408.65 and 32,063.10

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Solution

The fourth proportional to 110,957.10, 166,408.65 and 32,063.10 is: 48,086.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,957.10 : 166,408.65 = 32,063.10 : x
  2. Step 2: Convert to fraction form
    110,957.10/166,408.65 = 32,063.10/x
  3. Step 3: Cross multiply
    110,957.10x = 166,408.65 × 32,063.10
  4. Step 4: Simplify right side
    110,957.10x = 5,335,577,185.82
  5. Step 5: Solve for x
    x = 5,335,577,185.82/110,957.10
  6. Step 6: Final answer
    x = 48,086.85

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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.