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Finding the Fourth Proportional to 36,440.10, 54,616.26 and 15,372

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Solution

The fourth proportional to 36,440.10, 54,616.26 and 15,372 is: 23,039.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,440.10 : 54,616.26 = 15,372 : x
  2. Step 2: Convert to fraction form
    36,440.10/54,616.26 = 15,372/x
  3. Step 3: Cross multiply
    36,440.10x = 54,616.26 × 15,372
  4. Step 4: Simplify right side
    36,440.10x = 839,561,148.72
  5. Step 5: Solve for x
    x = 839,561,148.72/36,440.10
  6. Step 6: Final answer
    x = 23,039.49

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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.