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Finding the Fourth Proportional to 31,912.23, 44,038.17 and 19,982.16

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Solution

The fourth proportional to 31,912.23, 44,038.17 and 19,982.16 is: 27,574.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,912.23 : 44,038.17 = 19,982.16 : x
  2. Step 2: Convert to fraction form
    31,912.23/44,038.17 = 19,982.16/x
  3. Step 3: Cross multiply
    31,912.23x = 44,038.17 × 19,982.16
  4. Step 4: Simplify right side
    31,912.23x = 879,977,759.05
  5. Step 5: Solve for x
    x = 879,977,759.05/31,912.23
  6. Step 6: Final answer
    x = 27,574.94

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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.