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Finding the Fourth Proportional to 109,608.87, 164,418.08 and 34,734.53

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Solution

The fourth proportional to 109,608.87, 164,418.08 and 34,734.53 is: 52,103.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,608.87 : 164,418.08 = 34,734.53 : x
  2. Step 2: Convert to fraction form
    109,608.87/164,418.08 = 34,734.53/x
  3. Step 3: Cross multiply
    109,608.87x = 164,418.08 × 34,734.53
  4. Step 4: Simplify right side
    109,608.87x = 5,710,984,732.30
  5. Step 5: Solve for x
    x = 5,710,984,732.30/109,608.87
  6. Step 6: Final answer
    x = 52,103.31

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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.