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Finding the Fourth Proportional to 109,057.50, 163,586.30 and 34,183.48

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Solution

The fourth proportional to 109,057.50, 163,586.30 and 34,183.48 is: 51,275.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,057.50 : 163,586.30 = 34,183.48 : x
  2. Step 2: Convert to fraction form
    109,057.50/163,586.30 = 34,183.48/x
  3. Step 3: Cross multiply
    109,057.50x = 163,586.30 × 34,183.48
  4. Step 4: Simplify right side
    109,057.50x = 5,591,949,014.32
  5. Step 5: Solve for x
    x = 5,591,949,014.32/109,057.50
  6. Step 6: Final answer
    x = 51,275.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.