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Finding the Fourth Proportional to 32,991.84, 45,536.18 and 27,677.43

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Solution

The fourth proportional to 32,991.84, 45,536.18 and 27,677.43 is: 38,201.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,991.84 : 45,536.18 = 27,677.43 : x
  2. Step 2: Convert to fraction form
    32,991.84/45,536.18 = 27,677.43/x
  3. Step 3: Cross multiply
    32,991.84x = 45,536.18 × 27,677.43
  4. Step 4: Simplify right side
    32,991.84x = 1,260,324,296.03
  5. Step 5: Solve for x
    x = 1,260,324,296.03/32,991.84
  6. Step 6: Final answer
    x = 38,201.09

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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.