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Finding the Fourth Proportional to 36,468, 54,702 and 11,844

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Solution

The fourth proportional to 36,468, 54,702 and 11,844 is: 17,766

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,468 : 54,702 = 11,844 : x
  2. Step 2: Convert to fraction form
    36,468/54,702 = 11,844/x
  3. Step 3: Cross multiply
    36,468x = 54,702 × 11,844
  4. Step 4: Simplify right side
    36,468x = 647,890,488
  5. Step 5: Solve for x
    x = 647,890,488/36,468
  6. Step 6: Final answer
    x = 17,766

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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.