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Finding the Fourth Proportional to 33,271.84, 49,908.60 and 9,898.48

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Solution

The fourth proportional to 33,271.84, 49,908.60 and 9,898.48 is: 14,847.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,271.84 : 49,908.60 = 9,898.48 : x
  2. Step 2: Convert to fraction form
    33,271.84/49,908.60 = 9,898.48/x
  3. Step 3: Cross multiply
    33,271.84x = 49,908.60 × 9,898.48
  4. Step 4: Simplify right side
    33,271.84x = 494,019,278.93
  5. Step 5: Solve for x
    x = 494,019,278.93/33,271.84
  6. Step 6: Final answer
    x = 14,847.97

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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.