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Finding the Fourth Proportional to 36,441.36, 54,662.04 and 15,660

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Solution

The fourth proportional to 36,441.36, 54,662.04 and 15,660 is: 23,490

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,441.36 : 54,662.04 = 15,660 : x
  2. Step 2: Convert to fraction form
    36,441.36/54,662.04 = 15,660/x
  3. Step 3: Cross multiply
    36,441.36x = 54,662.04 × 15,660
  4. Step 4: Simplify right side
    36,441.36x = 856,007,546.40
  5. Step 5: Solve for x
    x = 856,007,546.40/36,441.36
  6. Step 6: Final answer
    x = 23,490

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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.