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Finding the Fourth Proportional to 32,997, 45,536.10 and 18,093

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Solution

The fourth proportional to 32,997, 45,536.10 and 18,093 is: 24,968.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,997 : 45,536.10 = 18,093 : x
  2. Step 2: Convert to fraction form
    32,997/45,536.10 = 18,093/x
  3. Step 3: Cross multiply
    32,997x = 45,536.10 × 18,093
  4. Step 4: Simplify right side
    32,997x = 823,884,657.30
  5. Step 5: Solve for x
    x = 823,884,657.30/32,997
  6. Step 6: Final answer
    x = 24,968.47

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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.