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Finding the Fourth Proportional to 36,590, 50,494.74 and 19,823

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Solution

The fourth proportional to 36,590, 50,494.74 and 19,823 is: 27,356.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,590 : 50,494.74 = 19,823 : x
  2. Step 2: Convert to fraction form
    36,590/50,494.74 = 19,823/x
  3. Step 3: Cross multiply
    36,590x = 50,494.74 × 19,823
  4. Step 4: Simplify right side
    36,590x = 1,000,957,231.02
  5. Step 5: Solve for x
    x = 1,000,957,231.02/36,590
  6. Step 6: Final answer
    x = 27,356.03

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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.