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Finding the Fourth Proportional to 33,054.75, 49,549.32 and 15,493.14

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Solution

The fourth proportional to 33,054.75, 49,549.32 and 15,493.14 is: 23,224.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,054.75 : 49,549.32 = 15,493.14 : x
  2. Step 2: Convert to fraction form
    33,054.75/49,549.32 = 15,493.14/x
  3. Step 3: Cross multiply
    33,054.75x = 49,549.32 × 15,493.14
  4. Step 4: Simplify right side
    33,054.75x = 767,674,551.66
  5. Step 5: Solve for x
    x = 767,674,551.66/33,054.75
  6. Step 6: Final answer
    x = 23,224.33

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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.