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Finding the Fourth Proportional to 33,189.06, 49,745.07 and 13,443.06

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Solution

The fourth proportional to 33,189.06, 49,745.07 and 13,443.06 is: 20,148.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,189.06 : 49,745.07 = 13,443.06 : x
  2. Step 2: Convert to fraction form
    33,189.06/49,745.07 = 13,443.06/x
  3. Step 3: Cross multiply
    33,189.06x = 49,745.07 × 13,443.06
  4. Step 4: Simplify right side
    33,189.06x = 668,725,960.71
  5. Step 5: Solve for x
    x = 668,725,960.71/33,189.06
  6. Step 6: Final answer
    x = 20,148.99

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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.