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Finding the Fourth Proportional to 65,832, 90,850.44 and 36,024

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Solution

The fourth proportional to 65,832, 90,850.44 and 36,024 is: 49,714.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,832 : 90,850.44 = 36,024 : x
  2. Step 2: Convert to fraction form
    65,832/90,850.44 = 36,024/x
  3. Step 3: Cross multiply
    65,832x = 90,850.44 × 36,024
  4. Step 4: Simplify right side
    65,832x = 3,272,796,250.56
  5. Step 5: Solve for x
    x = 3,272,796,250.56/65,832
  6. Step 6: Final answer
    x = 49,714.37

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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.