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Finding the Fourth Proportional to 110,583.06, 165,874.60 and 27,477.06

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Solution

The fourth proportional to 110,583.06, 165,874.60 and 27,477.06 is: 41,215.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,583.06 : 165,874.60 = 27,477.06 : x
  2. Step 2: Convert to fraction form
    110,583.06/165,874.60 = 27,477.06/x
  3. Step 3: Cross multiply
    110,583.06x = 165,874.60 × 27,477.06
  4. Step 4: Simplify right side
    110,583.06x = 4,557,746,336.68
  5. Step 5: Solve for x
    x = 4,557,746,336.68/110,583.06
  6. Step 6: Final answer
    x = 41,215.59

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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.