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Finding the Fourth Proportional to 33,121.92, 49,675.41 and 9,428.94

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Solution

The fourth proportional to 33,121.92, 49,675.41 and 9,428.94 is: 14,141.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,121.92 : 49,675.41 = 9,428.94 : x
  2. Step 2: Convert to fraction form
    33,121.92/49,675.41 = 9,428.94/x
  3. Step 3: Cross multiply
    33,121.92x = 49,675.41 × 9,428.94
  4. Step 4: Simplify right side
    33,121.92x = 468,386,460.37
  5. Step 5: Solve for x
    x = 468,386,460.37/33,121.92
  6. Step 6: Final answer
    x = 14,141.28

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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.