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Finding the Fourth Proportional to 33,208.63, 49,815.90 and 11,022.21

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Solution

The fourth proportional to 33,208.63, 49,815.90 and 11,022.21 is: 16,534.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,208.63 : 49,815.90 = 11,022.21 : x
  2. Step 2: Convert to fraction form
    33,208.63/49,815.90 = 11,022.21/x
  3. Step 3: Cross multiply
    33,208.63x = 49,815.90 × 11,022.21
  4. Step 4: Simplify right side
    33,208.63x = 549,081,311.14
  5. Step 5: Solve for x
    x = 549,081,311.14/33,208.63
  6. Step 6: Final answer
    x = 16,534.30

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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.