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Finding the Fourth Proportional to 33,189.95, 49,794.65 and 9,816.99

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Solution

The fourth proportional to 33,189.95, 49,794.65 and 9,816.99 is: 14,728.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,189.95 : 49,794.65 = 9,816.99 : x
  2. Step 2: Convert to fraction form
    33,189.95/49,794.65 = 9,816.99/x
  3. Step 3: Cross multiply
    33,189.95x = 49,794.65 × 9,816.99
  4. Step 4: Simplify right side
    33,189.95x = 488,833,532.02
  5. Step 5: Solve for x
    x = 488,833,532.02/33,189.95
  6. Step 6: Final answer
    x = 14,728.36

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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.