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Finding the Fourth Proportional to 51,378, 77,067 and 12,466

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Solution

The fourth proportional to 51,378, 77,067 and 12,466 is: 18,699

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,378 : 77,067 = 12,466 : x
  2. Step 2: Convert to fraction form
    51,378/77,067 = 12,466/x
  3. Step 3: Cross multiply
    51,378x = 77,067 × 12,466
  4. Step 4: Simplify right side
    51,378x = 960,717,222
  5. Step 5: Solve for x
    x = 960,717,222/51,378
  6. Step 6: Final answer
    x = 18,699

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.