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Finding the Fourth Proportional to 34,745.75, 47,922.90 and 21,828.78

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Solution

The fourth proportional to 34,745.75, 47,922.90 and 21,828.78 is: 30,107.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,745.75 : 47,922.90 = 21,828.78 : x
  2. Step 2: Convert to fraction form
    34,745.75/47,922.90 = 21,828.78/x
  3. Step 3: Cross multiply
    34,745.75x = 47,922.90 × 21,828.78
  4. Step 4: Simplify right side
    34,745.75x = 1,046,098,441.06
  5. Step 5: Solve for x
    x = 1,046,098,441.06/34,745.75
  6. Step 6: Final answer
    x = 30,107.23

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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.