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Finding the Fourth Proportional to 33,623, 50,429.96 and 13,898.82

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Solution

The fourth proportional to 33,623, 50,429.96 and 13,898.82 is: 20,846.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,623 : 50,429.96 = 13,898.82 : x
  2. Step 2: Convert to fraction form
    33,623/50,429.96 = 13,898.82/x
  3. Step 3: Cross multiply
    33,623x = 50,429.96 × 13,898.82
  4. Step 4: Simplify right side
    33,623x = 700,916,936.65
  5. Step 5: Solve for x
    x = 700,916,936.65/33,623
  6. Step 6: Final answer
    x = 20,846.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.