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Finding the Fourth Proportional to 30,571.88, 42,198 and 19,816.36

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Solution

The fourth proportional to 30,571.88, 42,198 and 19,816.36 is: 27,352.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,571.88 : 42,198 = 19,816.36 : x
  2. Step 2: Convert to fraction form
    30,571.88/42,198 = 19,816.36/x
  3. Step 3: Cross multiply
    30,571.88x = 42,198 × 19,816.36
  4. Step 4: Simplify right side
    30,571.88x = 836,210,759.28
  5. Step 5: Solve for x
    x = 836,210,759.28/30,571.88
  6. Step 6: Final answer
    x = 27,352.28

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