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Finding the Fourth Proportional to 33,907.50, 50,861.26 and 10,533.94

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Solution

The fourth proportional to 33,907.50, 50,861.26 and 10,533.94 is: 15,800.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,907.50 : 50,861.26 = 10,533.94 : x
  2. Step 2: Convert to fraction form
    33,907.50/50,861.26 = 10,533.94/x
  3. Step 3: Cross multiply
    33,907.50x = 50,861.26 × 10,533.94
  4. Step 4: Simplify right side
    33,907.50x = 535,769,461.16
  5. Step 5: Solve for x
    x = 535,769,461.16/33,907.50
  6. Step 6: Final answer
    x = 15,800.91

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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.