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Finding the Fourth Proportional to 110,495.25, 165,773.47 and 43,982.09

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Solution

The fourth proportional to 110,495.25, 165,773.47 and 43,982.09 is: 65,985.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,495.25 : 165,773.47 = 43,982.09 : x
  2. Step 2: Convert to fraction form
    110,495.25/165,773.47 = 43,982.09/x
  3. Step 3: Cross multiply
    110,495.25x = 165,773.47 × 43,982.09
  4. Step 4: Simplify right side
    110,495.25x = 7,291,062,991.07
  5. Step 5: Solve for x
    x = 7,291,062,991.07/110,495.25
  6. Step 6: Final answer
    x = 65,985.31

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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.