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Finding the Fourth Proportional to 33,177.70, 49,775.06 and 10,997.27

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Solution

The fourth proportional to 33,177.70, 49,775.06 and 10,997.27 is: 16,498.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,177.70 : 49,775.06 = 10,997.27 : x
  2. Step 2: Convert to fraction form
    33,177.70/49,775.06 = 10,997.27/x
  3. Step 3: Cross multiply
    33,177.70x = 49,775.06 × 10,997.27
  4. Step 4: Simplify right side
    33,177.70x = 547,389,677.50
  5. Step 5: Solve for x
    x = 547,389,677.50/33,177.70
  6. Step 6: Final answer
    x = 16,498.72

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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.