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Finding the Fourth Proportional to 29,796.44, 44,700.42 and 11,327

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Solution

The fourth proportional to 29,796.44, 44,700.42 and 11,327 is: 16,992.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,796.44 : 44,700.42 = 11,327 : x
  2. Step 2: Convert to fraction form
    29,796.44/44,700.42 = 11,327/x
  3. Step 3: Cross multiply
    29,796.44x = 44,700.42 × 11,327
  4. Step 4: Simplify right side
    29,796.44x = 506,321,657.34
  5. Step 5: Solve for x
    x = 506,321,657.34/29,796.44
  6. Step 6: Final answer
    x = 16,992.69

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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.