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Finding the Fourth Proportional to 104,647.70, 156,971.55 and 34,523.30

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Solution

The fourth proportional to 104,647.70, 156,971.55 and 34,523.30 is: 51,784.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,647.70 : 156,971.55 = 34,523.30 : x
  2. Step 2: Convert to fraction form
    104,647.70/156,971.55 = 34,523.30/x
  3. Step 3: Cross multiply
    104,647.70x = 156,971.55 × 34,523.30
  4. Step 4: Simplify right side
    104,647.70x = 5,419,175,912.12
  5. Step 5: Solve for x
    x = 5,419,175,912.12/104,647.70
  6. Step 6: Final answer
    x = 51,784.95

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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.