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Finding the Fourth Proportional to 110,961.40, 166,463.70 and 32,078.20

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Solution

The fourth proportional to 110,961.40, 166,463.70 and 32,078.20 is: 48,123.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,961.40 : 166,463.70 = 32,078.20 : x
  2. Step 2: Convert to fraction form
    110,961.40/166,463.70 = 32,078.20/x
  3. Step 3: Cross multiply
    110,961.40x = 166,463.70 × 32,078.20
  4. Step 4: Simplify right side
    110,961.40x = 5,339,855,861.34
  5. Step 5: Solve for x
    x = 5,339,855,861.34/110,961.40
  6. Step 6: Final answer
    x = 48,123.54

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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.