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Finding the Fourth Proportional to 33,874, 46,747.56 and 19,724.56

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Solution

The fourth proportional to 33,874, 46,747.56 and 19,724.56 is: 27,220.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,874 : 46,747.56 = 19,724.56 : x
  2. Step 2: Convert to fraction form
    33,874/46,747.56 = 19,724.56/x
  3. Step 3: Cross multiply
    33,874x = 46,747.56 × 19,724.56
  4. Step 4: Simplify right side
    33,874x = 922,075,052.07
  5. Step 5: Solve for x
    x = 922,075,052.07/33,874
  6. Step 6: Final answer
    x = 27,220.73

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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.