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Finding the Fourth Proportional to 33,277.98, 49,916.97 and 9,904.38

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Solution

The fourth proportional to 33,277.98, 49,916.97 and 9,904.38 is: 14,856.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,277.98 : 49,916.97 = 9,904.38 : x
  2. Step 2: Convert to fraction form
    33,277.98/49,916.97 = 9,904.38/x
  3. Step 3: Cross multiply
    33,277.98x = 49,916.97 × 9,904.38
  4. Step 4: Simplify right side
    33,277.98x = 494,396,639.33
  5. Step 5: Solve for x
    x = 494,396,639.33/33,277.98
  6. Step 6: Final answer
    x = 14,856.57

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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.