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Finding the Fourth Proportional to 33,571.94, 50,368.32 and 13,852.08

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Solution

The fourth proportional to 33,571.94, 50,368.32 and 13,852.08 is: 20,782.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,571.94 : 50,368.32 = 13,852.08 : x
  2. Step 2: Convert to fraction form
    33,571.94/50,368.32 = 13,852.08/x
  3. Step 3: Cross multiply
    33,571.94x = 50,368.32 × 13,852.08
  4. Step 4: Simplify right side
    33,571.94x = 697,705,998.11
  5. Step 5: Solve for x
    x = 697,705,998.11/33,571.94
  6. Step 6: Final answer
    x = 20,782.42

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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.