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Finding the Fourth Proportional to 35,451.30, 53,185.22 and 11,757.11

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Solution

The fourth proportional to 35,451.30, 53,185.22 and 11,757.11 is: 17,638.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,451.30 : 53,185.22 = 11,757.11 : x
  2. Step 2: Convert to fraction form
    35,451.30/53,185.22 = 11,757.11/x
  3. Step 3: Cross multiply
    35,451.30x = 53,185.22 × 11,757.11
  4. Step 4: Simplify right side
    35,451.30x = 625,304,481.91
  5. Step 5: Solve for x
    x = 625,304,481.91/35,451.30
  6. Step 6: Final answer
    x = 17,638.41

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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.