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Finding the Fourth Proportional to 31,890, 44,019.72 and 21,982.80

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Solution

The fourth proportional to 31,890, 44,019.72 and 21,982.80 is: 30,344.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,890 : 44,019.72 = 21,982.80 : x
  2. Step 2: Convert to fraction form
    31,890/44,019.72 = 21,982.80/x
  3. Step 3: Cross multiply
    31,890x = 44,019.72 × 21,982.80
  4. Step 4: Simplify right side
    31,890x = 967,676,700.82
  5. Step 5: Solve for x
    x = 967,676,700.82/31,890
  6. Step 6: Final answer
    x = 30,344.21

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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.