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Finding the Fourth Proportional to 33,285.84, 45,942.16 and 21,957.36

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Solution

The fourth proportional to 33,285.84, 45,942.16 and 21,957.36 is: 30,306.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,285.84 : 45,942.16 = 21,957.36 : x
  2. Step 2: Convert to fraction form
    33,285.84/45,942.16 = 21,957.36/x
  3. Step 3: Cross multiply
    33,285.84x = 45,942.16 × 21,957.36
  4. Step 4: Simplify right side
    33,285.84x = 1,008,768,546.30
  5. Step 5: Solve for x
    x = 1,008,768,546.30/33,285.84
  6. Step 6: Final answer
    x = 30,306.24

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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.