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Finding the Fourth Proportional to 33,027.76, 49,550.86 and 13,320.06

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Solution

The fourth proportional to 33,027.76, 49,550.86 and 13,320.06 is: 19,983.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,027.76 : 49,550.86 = 13,320.06 : x
  2. Step 2: Convert to fraction form
    33,027.76/49,550.86 = 13,320.06/x
  3. Step 3: Cross multiply
    33,027.76x = 49,550.86 × 13,320.06
  4. Step 4: Simplify right side
    33,027.76x = 660,020,428.25
  5. Step 5: Solve for x
    x = 660,020,428.25/33,027.76
  6. Step 6: Final answer
    x = 19,983.81

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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.