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Finding the Fourth Proportional to 36,414.87, 50,256.36 and 21,312.42

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Solution

The fourth proportional to 36,414.87, 50,256.36 and 21,312.42 is: 29,413.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,414.87 : 50,256.36 = 21,312.42 : x
  2. Step 2: Convert to fraction form
    36,414.87/50,256.36 = 21,312.42/x
  3. Step 3: Cross multiply
    36,414.87x = 50,256.36 × 21,312.42
  4. Step 4: Simplify right side
    36,414.87x = 1,071,084,651.99
  5. Step 5: Solve for x
    x = 1,071,084,651.99/36,414.87
  6. Step 6: Final answer
    x = 29,413.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.