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Finding the Fourth Proportional to 33,839.40, 50,715.90 and 16,271.40

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Solution

The fourth proportional to 33,839.40, 50,715.90 and 16,271.40 is: 24,386.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,839.40 : 50,715.90 = 16,271.40 : x
  2. Step 2: Convert to fraction form
    33,839.40/50,715.90 = 16,271.40/x
  3. Step 3: Cross multiply
    33,839.40x = 50,715.90 × 16,271.40
  4. Step 4: Simplify right side
    33,839.40x = 825,218,695.26
  5. Step 5: Solve for x
    x = 825,218,695.26/33,839.40
  6. Step 6: Final answer
    x = 24,386.33

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Why These Related Problems?

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