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Finding the Fourth Proportional to 33,676.94, 50,509.64 and 9,983.93

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Solution

The fourth proportional to 33,676.94, 50,509.64 and 9,983.93 is: 14,974.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,676.94 : 50,509.64 = 9,983.93 : x
  2. Step 2: Convert to fraction form
    33,676.94/50,509.64 = 9,983.93/x
  3. Step 3: Cross multiply
    33,676.94x = 50,509.64 × 9,983.93
  4. Step 4: Simplify right side
    33,676.94x = 504,284,710.09
  5. Step 5: Solve for x
    x = 504,284,710.09/33,676.94
  6. Step 6: Final answer
    x = 14,974.18

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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.