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Finding the Fourth Proportional to 33,782.94, 46,626.26 and 19,644

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Solution

The fourth proportional to 33,782.94, 46,626.26 and 19,644 is: 27,112.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,782.94 : 46,626.26 = 19,644 : x
  2. Step 2: Convert to fraction form
    33,782.94/46,626.26 = 19,644/x
  3. Step 3: Cross multiply
    33,782.94x = 46,626.26 × 19,644
  4. Step 4: Simplify right side
    33,782.94x = 915,926,153.22
  5. Step 5: Solve for x
    x = 915,926,153.22/33,782.94
  6. Step 6: Final answer
    x = 27,112.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.