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Finding the Fourth Proportional to 27,843, 41,659.88 and 19,539.23

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Solution

The fourth proportional to 27,843, 41,659.88 and 19,539.23 is: 29,235.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,843 : 41,659.88 = 19,539.23 : x
  2. Step 2: Convert to fraction form
    27,843/41,659.88 = 19,539.23/x
  3. Step 3: Cross multiply
    27,843x = 41,659.88 × 19,539.23
  4. Step 4: Simplify right side
    27,843x = 814,001,671.10
  5. Step 5: Solve for x
    x = 814,001,671.10/27,843
  6. Step 6: Final answer
    x = 29,235.42

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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.