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Finding the Fourth Proportional to 33,912.98, 50,828.66 and 12,548.65

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Solution

The fourth proportional to 33,912.98, 50,828.66 and 12,548.65 is: 18,807.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,912.98 : 50,828.66 = 12,548.65 : x
  2. Step 2: Convert to fraction form
    33,912.98/50,828.66 = 12,548.65/x
  3. Step 3: Cross multiply
    33,912.98x = 50,828.66 × 12,548.65
  4. Step 4: Simplify right side
    33,912.98x = 637,830,944.49
  5. Step 5: Solve for x
    x = 637,830,944.49/33,912.98
  6. Step 6: Final answer
    x = 18,807.87

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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.