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Finding the Fourth Proportional to 36,698, 50,643.24 and 22,550.48

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Solution

The fourth proportional to 36,698, 50,643.24 and 22,550.48 is: 31,119.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,698 : 50,643.24 = 22,550.48 : x
  2. Step 2: Convert to fraction form
    36,698/50,643.24 = 22,550.48/x
  3. Step 3: Cross multiply
    36,698x = 50,643.24 × 22,550.48
  4. Step 4: Simplify right side
    36,698x = 1,142,029,370.76
  5. Step 5: Solve for x
    x = 1,142,029,370.76/36,698
  6. Step 6: Final answer
    x = 31,119.66

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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.