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Finding the Fourth Proportional to 33,166.25, 49,749.07 and 13,440.12

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Solution

The fourth proportional to 33,166.25, 49,749.07 and 13,440.12 is: 20,160.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,166.25 : 49,749.07 = 13,440.12 : x
  2. Step 2: Convert to fraction form
    33,166.25/49,749.07 = 13,440.12/x
  3. Step 3: Cross multiply
    33,166.25x = 49,749.07 × 13,440.12
  4. Step 4: Simplify right side
    33,166.25x = 668,633,470.69
  5. Step 5: Solve for x
    x = 668,633,470.69/33,166.25
  6. Step 6: Final answer
    x = 20,160.06

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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.