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Finding the Fourth Proportional to 33,122.50, 49,686.06 and 10,951.48

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Solution

The fourth proportional to 33,122.50, 49,686.06 and 10,951.48 is: 16,427.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,122.50 : 49,686.06 = 10,951.48 : x
  2. Step 2: Convert to fraction form
    33,122.50/49,686.06 = 10,951.48/x
  3. Step 3: Cross multiply
    33,122.50x = 49,686.06 × 10,951.48
  4. Step 4: Simplify right side
    33,122.50x = 544,135,892.37
  5. Step 5: Solve for x
    x = 544,135,892.37/33,122.50
  6. Step 6: Final answer
    x = 16,427.98

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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.