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Finding the Fourth Proportional to 33,321.16, 49,923.42 and 19,441

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Solution

The fourth proportional to 33,321.16, 49,923.42 and 19,441 is: 29,127.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,321.16 : 49,923.42 = 19,441 : x
  2. Step 2: Convert to fraction form
    33,321.16/49,923.42 = 19,441/x
  3. Step 3: Cross multiply
    33,321.16x = 49,923.42 × 19,441
  4. Step 4: Simplify right side
    33,321.16x = 970,561,208.22
  5. Step 5: Solve for x
    x = 970,561,208.22/33,321.16
  6. Step 6: Final answer
    x = 29,127.47

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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.