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Finding the Fourth Proportional to 31,833, 43,933.59 and 19,257.84

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Solution

The fourth proportional to 31,833, 43,933.59 and 19,257.84 is: 26,578.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,833 : 43,933.59 = 19,257.84 : x
  2. Step 2: Convert to fraction form
    31,833/43,933.59 = 19,257.84/x
  3. Step 3: Cross multiply
    31,833x = 43,933.59 × 19,257.84
  4. Step 4: Simplify right side
    31,833x = 846,066,046.85
  5. Step 5: Solve for x
    x = 846,066,046.85/31,833
  6. Step 6: Final answer
    x = 26,578.27

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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.