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Finding the Fourth Proportional to 36,908, 50,933.76 and 22,004

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Solution

The fourth proportional to 36,908, 50,933.76 and 22,004 is: 30,365.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,908 : 50,933.76 = 22,004 : x
  2. Step 2: Convert to fraction form
    36,908/50,933.76 = 22,004/x
  3. Step 3: Cross multiply
    36,908x = 50,933.76 × 22,004
  4. Step 4: Simplify right side
    36,908x = 1,120,746,455.04
  5. Step 5: Solve for x
    x = 1,120,746,455.04/36,908
  6. Step 6: Final answer
    x = 30,365.95

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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.