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Finding the Fourth Proportional to 33,828, 46,682.64 and 18,924

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Solution

The fourth proportional to 33,828, 46,682.64 and 18,924 is: 26,115.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,828 : 46,682.64 = 18,924 : x
  2. Step 2: Convert to fraction form
    33,828/46,682.64 = 18,924/x
  3. Step 3: Cross multiply
    33,828x = 46,682.64 × 18,924
  4. Step 4: Simplify right side
    33,828x = 883,422,279.36
  5. Step 5: Solve for x
    x = 883,422,279.36/33,828
  6. Step 6: Final answer
    x = 26,115.12

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