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Finding the Fourth Proportional to 36,410.66, 54,616 and 10,115.42

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Solution

The fourth proportional to 36,410.66, 54,616 and 10,115.42 is: 15,173.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,410.66 : 54,616 = 10,115.42 : x
  2. Step 2: Convert to fraction form
    36,410.66/54,616 = 10,115.42/x
  3. Step 3: Cross multiply
    36,410.66x = 54,616 × 10,115.42
  4. Step 4: Simplify right side
    36,410.66x = 552,463,778.72
  5. Step 5: Solve for x
    x = 552,463,778.72/36,410.66
  6. Step 6: Final answer
    x = 15,173.13

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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.