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Finding the Fourth Proportional to 28,093.78, 42,136.32 and 8,369.20

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Solution

The fourth proportional to 28,093.78, 42,136.32 and 8,369.20 is: 12,552.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,093.78 : 42,136.32 = 8,369.20 : x
  2. Step 2: Convert to fraction form
    28,093.78/42,136.32 = 8,369.20/x
  3. Step 3: Cross multiply
    28,093.78x = 42,136.32 × 8,369.20
  4. Step 4: Simplify right side
    28,093.78x = 352,647,289.34
  5. Step 5: Solve for x
    x = 352,647,289.34/28,093.78
  6. Step 6: Final answer
    x = 12,552.50

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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.