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Finding the Fourth Proportional to 49,775, 74,664.37 and 13,755.11

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Solution

The fourth proportional to 49,775, 74,664.37 and 13,755.11 is: 20,633.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,775 : 74,664.37 = 13,755.11 : x
  2. Step 2: Convert to fraction form
    49,775/74,664.37 = 13,755.11/x
  3. Step 3: Cross multiply
    49,775x = 74,664.37 × 13,755.11
  4. Step 4: Simplify right side
    49,775x = 1,027,016,622.43
  5. Step 5: Solve for x
    x = 1,027,016,622.43/49,775
  6. Step 6: Final answer
    x = 20,633.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.