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Finding the Fourth Proportional to 31,764.33, 43,806.09 and 19,828.77

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Solution

The fourth proportional to 31,764.33, 43,806.09 and 19,828.77 is: 27,345.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,764.33 : 43,806.09 = 19,828.77 : x
  2. Step 2: Convert to fraction form
    31,764.33/43,806.09 = 19,828.77/x
  3. Step 3: Cross multiply
    31,764.33x = 43,806.09 × 19,828.77
  4. Step 4: Simplify right side
    31,764.33x = 868,620,883.21
  5. Step 5: Solve for x
    x = 868,620,883.21/31,764.33
  6. Step 6: Final answer
    x = 27,345.80

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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.