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Finding the Fourth Proportional to 36,496, 54,745.02 and 11,872

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Solution

The fourth proportional to 36,496, 54,745.02 and 11,872 is: 17,808.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,496 : 54,745.02 = 11,872 : x
  2. Step 2: Convert to fraction form
    36,496/54,745.02 = 11,872/x
  3. Step 3: Cross multiply
    36,496x = 54,745.02 × 11,872
  4. Step 4: Simplify right side
    36,496x = 649,932,877.44
  5. Step 5: Solve for x
    x = 649,932,877.44/36,496
  6. Step 6: Final answer
    x = 17,808.33

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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.