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Finding the Fourth Proportional to 33,188.36, 49,787.94 and 9,817.16

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Solution

The fourth proportional to 33,188.36, 49,787.94 and 9,817.16 is: 14,727.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,188.36 : 49,787.94 = 9,817.16 : x
  2. Step 2: Convert to fraction form
    33,188.36/49,787.94 = 9,817.16/x
  3. Step 3: Cross multiply
    33,188.36x = 49,787.94 × 9,817.16
  4. Step 4: Simplify right side
    33,188.36x = 488,776,173.05
  5. Step 5: Solve for x
    x = 488,776,173.05/33,188.36
  6. Step 6: Final answer
    x = 14,727.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.