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Finding the Fourth Proportional to 36,731, 50,688.78 and 21,827

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Solution

The fourth proportional to 36,731, 50,688.78 and 21,827 is: 30,121.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,731 : 50,688.78 = 21,827 : x
  2. Step 2: Convert to fraction form
    36,731/50,688.78 = 21,827/x
  3. Step 3: Cross multiply
    36,731x = 50,688.78 × 21,827
  4. Step 4: Simplify right side
    36,731x = 1,106,384,001.06
  5. Step 5: Solve for x
    x = 1,106,384,001.06/36,731
  6. Step 6: Final answer
    x = 30,121.26

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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.