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Finding the Fourth Proportional to 36,864, 50,873.52 and 20,098.08

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Solution

The fourth proportional to 36,864, 50,873.52 and 20,098.08 is: 27,736.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,864 : 50,873.52 = 20,098.08 : x
  2. Step 2: Convert to fraction form
    36,864/50,873.52 = 20,098.08/x
  3. Step 3: Cross multiply
    36,864x = 50,873.52 × 20,098.08
  4. Step 4: Simplify right side
    36,864x = 1,022,460,074.84
  5. Step 5: Solve for x
    x = 1,022,460,074.84/36,864
  6. Step 6: Final answer
    x = 27,736.00

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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.