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Finding the Fourth Proportional to 36,850.14, 50,838.75 and 22,678.38

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Solution

The fourth proportional to 36,850.14, 50,838.75 and 22,678.38 is: 31,287.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,850.14 : 50,838.75 = 22,678.38 : x
  2. Step 2: Convert to fraction form
    36,850.14/50,838.75 = 22,678.38/x
  3. Step 3: Cross multiply
    36,850.14x = 50,838.75 × 22,678.38
  4. Step 4: Simplify right side
    36,850.14x = 1,152,940,491.23
  5. Step 5: Solve for x
    x = 1,152,940,491.23/36,850.14
  6. Step 6: Final answer
    x = 31,287.28

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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.