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Finding the Fourth Proportional to 33,993.16, 50,915.80 and 16,426

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Solution

The fourth proportional to 33,993.16, 50,915.80 and 16,426 is: 24,603.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,993.16 : 50,915.80 = 16,426 : x
  2. Step 2: Convert to fraction form
    33,993.16/50,915.80 = 16,426/x
  3. Step 3: Cross multiply
    33,993.16x = 50,915.80 × 16,426
  4. Step 4: Simplify right side
    33,993.16x = 836,342,930.80
  5. Step 5: Solve for x
    x = 836,342,930.80/33,993.16
  6. Step 6: Final answer
    x = 24,603.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.