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Finding the Fourth Proportional to 33,522.24, 50,281.83 and 9,828.83

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Solution

The fourth proportional to 33,522.24, 50,281.83 and 9,828.83 is: 14,742.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,522.24 : 50,281.83 = 9,828.83 : x
  2. Step 2: Convert to fraction form
    33,522.24/50,281.83 = 9,828.83/x
  3. Step 3: Cross multiply
    33,522.24x = 50,281.83 × 9,828.83
  4. Step 4: Simplify right side
    33,522.24x = 494,211,559.16
  5. Step 5: Solve for x
    x = 494,211,559.16/33,522.24
  6. Step 6: Final answer
    x = 14,742.80

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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.