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Finding the Fourth Proportional to 36,178.84, 54,260.34 and 13,984.44

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Solution

The fourth proportional to 36,178.84, 54,260.34 and 13,984.44 is: 20,973.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,178.84 : 54,260.34 = 13,984.44 : x
  2. Step 2: Convert to fraction form
    36,178.84/54,260.34 = 13,984.44/x
  3. Step 3: Cross multiply
    36,178.84x = 54,260.34 × 13,984.44
  4. Step 4: Simplify right side
    36,178.84x = 758,800,469.11
  5. Step 5: Solve for x
    x = 758,800,469.11/36,178.84
  6. Step 6: Final answer
    x = 20,973.60

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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.