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Finding the Fourth Proportional to 36,612, 54,885.42 and 13,233.24

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Solution

The fourth proportional to 36,612, 54,885.42 and 13,233.24 is: 19,838.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,612 : 54,885.42 = 13,233.24 : x
  2. Step 2: Convert to fraction form
    36,612/54,885.42 = 13,233.24/x
  3. Step 3: Cross multiply
    36,612x = 54,885.42 × 13,233.24
  4. Step 4: Simplify right side
    36,612x = 726,311,935.36
  5. Step 5: Solve for x
    x = 726,311,935.36/36,612
  6. Step 6: Final answer
    x = 19,838.08

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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.