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Finding the Fourth Proportional to 110,449, 165,673.50 and 27,343

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Solution

The fourth proportional to 110,449, 165,673.50 and 27,343 is: 41,014.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,449 : 165,673.50 = 27,343 : x
  2. Step 2: Convert to fraction form
    110,449/165,673.50 = 27,343/x
  3. Step 3: Cross multiply
    110,449x = 165,673.50 × 27,343
  4. Step 4: Simplify right side
    110,449x = 4,530,010,510.50
  5. Step 5: Solve for x
    x = 4,530,010,510.50/110,449
  6. Step 6: Final answer
    x = 41,014.50

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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.