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Finding the Fourth Proportional to 30,759.52, 42,450.24 and 23,192.56

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Solution

The fourth proportional to 30,759.52, 42,450.24 and 23,192.56 is: 32,007.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,759.52 : 42,450.24 = 23,192.56 : x
  2. Step 2: Convert to fraction form
    30,759.52/42,450.24 = 23,192.56/x
  3. Step 3: Cross multiply
    30,759.52x = 42,450.24 × 23,192.56
  4. Step 4: Simplify right side
    30,759.52x = 984,529,738.21
  5. Step 5: Solve for x
    x = 984,529,738.21/30,759.52
  6. Step 6: Final answer
    x = 32,007.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.