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Finding the Fourth Proportional to 33,205.58, 49,808.25 and 9,830.18

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Solution

The fourth proportional to 33,205.58, 49,808.25 and 9,830.18 is: 14,745.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,205.58 : 49,808.25 = 9,830.18 : x
  2. Step 2: Convert to fraction form
    33,205.58/49,808.25 = 9,830.18/x
  3. Step 3: Cross multiply
    33,205.58x = 49,808.25 × 9,830.18
  4. Step 4: Simplify right side
    33,205.58x = 489,624,062.99
  5. Step 5: Solve for x
    x = 489,624,062.99/33,205.58
  6. Step 6: Final answer
    x = 14,745.23

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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.