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Finding the Fourth Proportional to 72,388.64, 108,571.44 and 30,824.48

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Solution

The fourth proportional to 72,388.64, 108,571.44 and 30,824.48 is: 46,231.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,388.64 : 108,571.44 = 30,824.48 : x
  2. Step 2: Convert to fraction form
    72,388.64/108,571.44 = 30,824.48/x
  3. Step 3: Cross multiply
    72,388.64x = 108,571.44 × 30,824.48
  4. Step 4: Simplify right side
    72,388.64x = 3,346,658,180.85
  5. Step 5: Solve for x
    x = 3,346,658,180.85/72,388.64
  6. Step 6: Final answer
    x = 46,231.81

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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.