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Finding the Fourth Proportional to 33,698.97, 50,561.55 and 13,972.50

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Solution

The fourth proportional to 33,698.97, 50,561.55 and 13,972.50 is: 20,964.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,698.97 : 50,561.55 = 13,972.50 : x
  2. Step 2: Convert to fraction form
    33,698.97/50,561.55 = 13,972.50/x
  3. Step 3: Cross multiply
    33,698.97x = 50,561.55 × 13,972.50
  4. Step 4: Simplify right side
    33,698.97x = 706,471,257.38
  5. Step 5: Solve for x
    x = 706,471,257.38/33,698.97
  6. Step 6: Final answer
    x = 20,964.18

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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.