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Finding the Fourth Proportional to 36,583.38, 50,485.14 and 19,816.38

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Solution

The fourth proportional to 36,583.38, 50,485.14 and 19,816.38 is: 27,346.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,583.38 : 50,485.14 = 19,816.38 : x
  2. Step 2: Convert to fraction form
    36,583.38/50,485.14 = 19,816.38/x
  3. Step 3: Cross multiply
    36,583.38x = 50,485.14 × 19,816.38
  4. Step 4: Simplify right side
    36,583.38x = 1,000,432,718.59
  5. Step 5: Solve for x
    x = 1,000,432,718.59/36,583.38
  6. Step 6: Final answer
    x = 27,346.65

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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.