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Finding the Fourth Proportional to 33,247.63, 49,879.65 and 9,874.03

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Solution

The fourth proportional to 33,247.63, 49,879.65 and 9,874.03 is: 14,813.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,247.63 : 49,879.65 = 9,874.03 : x
  2. Step 2: Convert to fraction form
    33,247.63/49,879.65 = 9,874.03/x
  3. Step 3: Cross multiply
    33,247.63x = 49,879.65 × 9,874.03
  4. Step 4: Simplify right side
    33,247.63x = 492,513,160.49
  5. Step 5: Solve for x
    x = 492,513,160.49/33,247.63
  6. Step 6: Final answer
    x = 14,813.48

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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.