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Finding the Fourth Proportional to 33,228.01, 49,850.52 and 9,853.84

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Solution

The fourth proportional to 33,228.01, 49,850.52 and 9,853.84 is: 14,783.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,228.01 : 49,850.52 = 9,853.84 : x
  2. Step 2: Convert to fraction form
    33,228.01/49,850.52 = 9,853.84/x
  3. Step 3: Cross multiply
    33,228.01x = 49,850.52 × 9,853.84
  4. Step 4: Simplify right side
    33,228.01x = 491,219,048.00
  5. Step 5: Solve for x
    x = 491,219,048.00/33,228.01
  6. Step 6: Final answer
    x = 14,783.28

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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.