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Finding the Fourth Proportional to 33,522, 50,211.24 and 17,676.96

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Solution

The fourth proportional to 33,522, 50,211.24 and 17,676.96 is: 26,477.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,522 : 50,211.24 = 17,676.96 : x
  2. Step 2: Convert to fraction form
    33,522/50,211.24 = 17,676.96/x
  3. Step 3: Cross multiply
    33,522x = 50,211.24 × 17,676.96
  4. Step 4: Simplify right side
    33,522x = 887,582,081.03
  5. Step 5: Solve for x
    x = 887,582,081.03/33,522
  6. Step 6: Final answer
    x = 26,477.60

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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.