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Finding the Fourth Proportional to 30,536.44, 42,141.49 and 17,107.80

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Solution

The fourth proportional to 30,536.44, 42,141.49 and 17,107.80 is: 23,609.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,536.44 : 42,141.49 = 17,107.80 : x
  2. Step 2: Convert to fraction form
    30,536.44/42,141.49 = 17,107.80/x
  3. Step 3: Cross multiply
    30,536.44x = 42,141.49 × 17,107.80
  4. Step 4: Simplify right side
    30,536.44x = 720,948,182.62
  5. Step 5: Solve for x
    x = 720,948,182.62/30,536.44
  6. Step 6: Final answer
    x = 23,609.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.