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Finding the Fourth Proportional to 33,191.88, 49,787.82 and 9,816.50

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Solution

The fourth proportional to 33,191.88, 49,787.82 and 9,816.50 is: 14,724.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,191.88 : 49,787.82 = 9,816.50 : x
  2. Step 2: Convert to fraction form
    33,191.88/49,787.82 = 9,816.50/x
  3. Step 3: Cross multiply
    33,191.88x = 49,787.82 × 9,816.50
  4. Step 4: Simplify right side
    33,191.88x = 488,742,135.03
  5. Step 5: Solve for x
    x = 488,742,135.03/33,191.88
  6. Step 6: Final answer
    x = 14,724.75

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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.