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Finding the Fourth Proportional to 36,502, 50,372.76 and 19,735

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Solution

The fourth proportional to 36,502, 50,372.76 and 19,735 is: 27,234.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,502 : 50,372.76 = 19,735 : x
  2. Step 2: Convert to fraction form
    36,502/50,372.76 = 19,735/x
  3. Step 3: Cross multiply
    36,502x = 50,372.76 × 19,735
  4. Step 4: Simplify right side
    36,502x = 994,106,418.60
  5. Step 5: Solve for x
    x = 994,106,418.60/36,502
  6. Step 6: Final answer
    x = 27,234.30

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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.