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Finding the Fourth Proportional to 110,524.40, 165,786.56 and 27,418.40

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Solution

The fourth proportional to 110,524.40, 165,786.56 and 27,418.40 is: 41,127.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,524.40 : 165,786.56 = 27,418.40 : x
  2. Step 2: Convert to fraction form
    110,524.40/165,786.56 = 27,418.40/x
  3. Step 3: Cross multiply
    110,524.40x = 165,786.56 × 27,418.40
  4. Step 4: Simplify right side
    110,524.40x = 4,545,602,216.70
  5. Step 5: Solve for x
    x = 4,545,602,216.70/110,524.40
  6. Step 6: Final answer
    x = 41,127.59

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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.