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Finding the Fourth Proportional to 110,345, 165,517.92 and 27,239

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Solution

The fourth proportional to 110,345, 165,517.92 and 27,239 is: 40,858.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,345 : 165,517.92 = 27,239 : x
  2. Step 2: Convert to fraction form
    110,345/165,517.92 = 27,239/x
  3. Step 3: Cross multiply
    110,345x = 165,517.92 × 27,239
  4. Step 4: Simplify right side
    110,345x = 4,508,542,622.88
  5. Step 5: Solve for x
    x = 4,508,542,622.88/110,345
  6. Step 6: Final answer
    x = 40,858.60

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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.