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Finding the Fourth Proportional to 33,667.84, 50,501.76 and 10,294.28

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Solution

The fourth proportional to 33,667.84, 50,501.76 and 10,294.28 is: 15,441.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,667.84 : 50,501.76 = 10,294.28 : x
  2. Step 2: Convert to fraction form
    33,667.84/50,501.76 = 10,294.28/x
  3. Step 3: Cross multiply
    33,667.84x = 50,501.76 × 10,294.28
  4. Step 4: Simplify right side
    33,667.84x = 519,879,257.93
  5. Step 5: Solve for x
    x = 519,879,257.93/33,667.84
  6. Step 6: Final answer
    x = 15,441.42

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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.