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Finding the Fourth Proportional to 33,287.63, 49,933.06 and 9,914.27

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Solution

The fourth proportional to 33,287.63, 49,933.06 and 9,914.27 is: 14,871.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,287.63 : 49,933.06 = 9,914.27 : x
  2. Step 2: Convert to fraction form
    33,287.63/49,933.06 = 9,914.27/x
  3. Step 3: Cross multiply
    33,287.63x = 49,933.06 × 9,914.27
  4. Step 4: Simplify right side
    33,287.63x = 495,049,564.32
  5. Step 5: Solve for x
    x = 495,049,564.32/33,287.63
  6. Step 6: Final answer
    x = 14,871.88

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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.