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Finding the Fourth Proportional to 30,571.57, 45,861.44 and 12,099.25

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Solution

The fourth proportional to 30,571.57, 45,861.44 and 12,099.25 is: 18,150.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,571.57 : 45,861.44 = 12,099.25 : x
  2. Step 2: Convert to fraction form
    30,571.57/45,861.44 = 12,099.25/x
  3. Step 3: Cross multiply
    30,571.57x = 45,861.44 × 12,099.25
  4. Step 4: Simplify right side
    30,571.57x = 554,889,027.92
  5. Step 5: Solve for x
    x = 554,889,027.92/30,571.57
  6. Step 6: Final answer
    x = 18,150.49

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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.