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Finding the Fourth Proportional to 36,135.94, 54,209 and 11,178.16

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Solution

The fourth proportional to 36,135.94, 54,209 and 11,178.16 is: 16,768.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,135.94 : 54,209 = 11,178.16 : x
  2. Step 2: Convert to fraction form
    36,135.94/54,209 = 11,178.16/x
  3. Step 3: Cross multiply
    36,135.94x = 54,209 × 11,178.16
  4. Step 4: Simplify right side
    36,135.94x = 605,956,875.44
  5. Step 5: Solve for x
    x = 605,956,875.44/36,135.94
  6. Step 6: Final answer
    x = 16,768.81

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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.