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Finding the Fourth Proportional to 33,985.50, 50,982.57 and 9,361.50

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Solution

The fourth proportional to 33,985.50, 50,982.57 and 9,361.50 is: 14,043.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,985.50 : 50,982.57 = 9,361.50 : x
  2. Step 2: Convert to fraction form
    33,985.50/50,982.57 = 9,361.50/x
  3. Step 3: Cross multiply
    33,985.50x = 50,982.57 × 9,361.50
  4. Step 4: Simplify right side
    33,985.50x = 477,273,329.06
  5. Step 5: Solve for x
    x = 477,273,329.06/33,985.50
  6. Step 6: Final answer
    x = 14,043.44

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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.