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Finding the Fourth Proportional to 33,817.76, 50,735.44 and 13,034.40

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Solution

The fourth proportional to 33,817.76, 50,735.44 and 13,034.40 is: 19,554.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,817.76 : 50,735.44 = 13,034.40 : x
  2. Step 2: Convert to fraction form
    33,817.76/50,735.44 = 13,034.40/x
  3. Step 3: Cross multiply
    33,817.76x = 50,735.44 × 13,034.40
  4. Step 4: Simplify right side
    33,817.76x = 661,306,019.14
  5. Step 5: Solve for x
    x = 661,306,019.14/33,817.76
  6. Step 6: Final answer
    x = 19,554.99

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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.