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Finding the Fourth Proportional to 31,049.40, 42,825.06 and 19,709.04

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Solution

The fourth proportional to 31,049.40, 42,825.06 and 19,709.04 is: 27,183.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,049.40 : 42,825.06 = 19,709.04 : x
  2. Step 2: Convert to fraction form
    31,049.40/42,825.06 = 19,709.04/x
  3. Step 3: Cross multiply
    31,049.40x = 42,825.06 × 19,709.04
  4. Step 4: Simplify right side
    31,049.40x = 844,040,820.54
  5. Step 5: Solve for x
    x = 844,040,820.54/31,049.40
  6. Step 6: Final answer
    x = 27,183.80

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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.