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Finding the Fourth Proportional to 31,982, 44,162.28 and 20,065.04

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Solution

The fourth proportional to 31,982, 44,162.28 and 20,065.04 is: 27,706.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,982 : 44,162.28 = 20,065.04 : x
  2. Step 2: Convert to fraction form
    31,982/44,162.28 = 20,065.04/x
  3. Step 3: Cross multiply
    31,982x = 44,162.28 × 20,065.04
  4. Step 4: Simplify right side
    31,982x = 886,117,914.69
  5. Step 5: Solve for x
    x = 886,117,914.69/31,982
  6. Step 6: Final answer
    x = 27,706.77

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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.