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Finding the Fourth Proportional to 36,409.98, 50,247.38 and 20,495.46

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Solution

The fourth proportional to 36,409.98, 50,247.38 and 20,495.46 is: 28,284.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,409.98 : 50,247.38 = 20,495.46 : x
  2. Step 2: Convert to fraction form
    36,409.98/50,247.38 = 20,495.46/x
  3. Step 3: Cross multiply
    36,409.98x = 50,247.38 × 20,495.46
  4. Step 4: Simplify right side
    36,409.98x = 1,029,843,166.89
  5. Step 5: Solve for x
    x = 1,029,843,166.89/36,409.98
  6. Step 6: Final answer
    x = 28,284.64

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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.