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Finding the Fourth Proportional to 33,898.50, 50,847.75 and 10,524.94

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Solution

The fourth proportional to 33,898.50, 50,847.75 and 10,524.94 is: 15,787.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,898.50 : 50,847.75 = 10,524.94 : x
  2. Step 2: Convert to fraction form
    33,898.50/50,847.75 = 10,524.94/x
  3. Step 3: Cross multiply
    33,898.50x = 50,847.75 × 10,524.94
  4. Step 4: Simplify right side
    33,898.50x = 535,169,390.77
  5. Step 5: Solve for x
    x = 535,169,390.77/33,898.50
  6. Step 6: Final answer
    x = 15,787.41

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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.