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Finding the Fourth Proportional to 33,050, 49,582.84 and 11,162

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Solution

The fourth proportional to 33,050, 49,582.84 and 11,162 is: 16,745.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,050 : 49,582.84 = 11,162 : x
  2. Step 2: Convert to fraction form
    33,050/49,582.84 = 11,162/x
  3. Step 3: Cross multiply
    33,050x = 49,582.84 × 11,162
  4. Step 4: Simplify right side
    33,050x = 553,443,660.08
  5. Step 5: Solve for x
    x = 553,443,660.08/33,050
  6. Step 6: Final answer
    x = 16,745.65

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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.