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Finding the Fourth Proportional to 36,400.50, 54,601.02 and 11,776.50

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Solution

The fourth proportional to 36,400.50, 54,601.02 and 11,776.50 is: 17,664.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,400.50 : 54,601.02 = 11,776.50 : x
  2. Step 2: Convert to fraction form
    36,400.50/54,601.02 = 11,776.50/x
  3. Step 3: Cross multiply
    36,400.50x = 54,601.02 × 11,776.50
  4. Step 4: Simplify right side
    36,400.50x = 643,008,912.03
  5. Step 5: Solve for x
    x = 643,008,912.03/36,400.50
  6. Step 6: Final answer
    x = 17,664.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.