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Finding the Fourth Proportional to 33,412.54, 50,075.06 and 13,667.98

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Solution

The fourth proportional to 33,412.54, 50,075.06 and 13,667.98 is: 20,484.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,412.54 : 50,075.06 = 13,667.98 : x
  2. Step 2: Convert to fraction form
    33,412.54/50,075.06 = 13,667.98/x
  3. Step 3: Cross multiply
    33,412.54x = 50,075.06 × 13,667.98
  4. Step 4: Simplify right side
    33,412.54x = 684,424,918.58
  5. Step 5: Solve for x
    x = 684,424,918.58/33,412.54
  6. Step 6: Final answer
    x = 20,484.07

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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.