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Finding the Fourth Proportional to 36,168, 54,252.96 and 11,544

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Solution

The fourth proportional to 36,168, 54,252.96 and 11,544 is: 17,316.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,168 : 54,252.96 = 11,544 : x
  2. Step 2: Convert to fraction form
    36,168/54,252.96 = 11,544/x
  3. Step 3: Cross multiply
    36,168x = 54,252.96 × 11,544
  4. Step 4: Simplify right side
    36,168x = 626,296,170.24
  5. Step 5: Solve for x
    x = 626,296,170.24/36,168
  6. Step 6: Final answer
    x = 17,316.31

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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.