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Finding the Fourth Proportional to 34,136.44, 51,213.30 and 9,512.44

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Solution

The fourth proportional to 34,136.44, 51,213.30 and 9,512.44 is: 14,271.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,136.44 : 51,213.30 = 9,512.44 : x
  2. Step 2: Convert to fraction form
    34,136.44/51,213.30 = 9,512.44/x
  3. Step 3: Cross multiply
    34,136.44x = 51,213.30 × 9,512.44
  4. Step 4: Simplify right side
    34,136.44x = 487,163,279.75
  5. Step 5: Solve for x
    x = 487,163,279.75/34,136.44
  6. Step 6: Final answer
    x = 14,271.06

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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.