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Finding the Fourth Proportional to 33,522.96, 50,272.02 and 9,824.43

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Solution

The fourth proportional to 33,522.96, 50,272.02 and 9,824.43 is: 14,733.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,522.96 : 50,272.02 = 9,824.43 : x
  2. Step 2: Convert to fraction form
    33,522.96/50,272.02 = 9,824.43/x
  3. Step 3: Cross multiply
    33,522.96x = 50,272.02 × 9,824.43
  4. Step 4: Simplify right side
    33,522.96x = 493,894,129.97
  5. Step 5: Solve for x
    x = 493,894,129.97/33,522.96
  6. Step 6: Final answer
    x = 14,733.01

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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.