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Finding the Fourth Proportional to 33,253, 49,879.50 and 12,461.92

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Solution

The fourth proportional to 33,253, 49,879.50 and 12,461.92 is: 18,692.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,253 : 49,879.50 = 12,461.92 : x
  2. Step 2: Convert to fraction form
    33,253/49,879.50 = 12,461.92/x
  3. Step 3: Cross multiply
    33,253x = 49,879.50 × 12,461.92
  4. Step 4: Simplify right side
    33,253x = 621,594,338.64
  5. Step 5: Solve for x
    x = 621,594,338.64/33,253
  6. Step 6: Final answer
    x = 18,692.88

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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.