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Finding the Fourth Proportional to 33,828.84, 50,757.84 and 14,111.28

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Solution

The fourth proportional to 33,828.84, 50,757.84 and 14,111.28 is: 21,173.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,828.84 : 50,757.84 = 14,111.28 : x
  2. Step 2: Convert to fraction form
    33,828.84/50,757.84 = 14,111.28/x
  3. Step 3: Cross multiply
    33,828.84x = 50,757.84 × 14,111.28
  4. Step 4: Simplify right side
    33,828.84x = 716,258,092.44
  5. Step 5: Solve for x
    x = 716,258,092.44/33,828.84
  6. Step 6: Final answer
    x = 21,173.00

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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.