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Finding the Fourth Proportional to 110,448.50, 165,672.75 and 27,342.50

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Solution

The fourth proportional to 110,448.50, 165,672.75 and 27,342.50 is: 41,013.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,448.50 : 165,672.75 = 27,342.50 : x
  2. Step 2: Convert to fraction form
    110,448.50/165,672.75 = 27,342.50/x
  3. Step 3: Cross multiply
    110,448.50x = 165,672.75 × 27,342.50
  4. Step 4: Simplify right side
    110,448.50x = 4,529,907,166.88
  5. Step 5: Solve for x
    x = 4,529,907,166.88/110,448.50
  6. Step 6: Final answer
    x = 41,013.75

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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.