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Finding the Fourth Proportional to 36,864, 50,856.27 and 23,428.05

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Solution

The fourth proportional to 36,864, 50,856.27 and 23,428.05 is: 32,320.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,864 : 50,856.27 = 23,428.05 : x
  2. Step 2: Convert to fraction form
    36,864/50,856.27 = 23,428.05/x
  3. Step 3: Cross multiply
    36,864x = 50,856.27 × 23,428.05
  4. Step 4: Simplify right side
    36,864x = 1,191,463,236.37
  5. Step 5: Solve for x
    x = 1,191,463,236.37/36,864
  6. Step 6: Final answer
    x = 32,320.51

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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.