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Finding the Fourth Proportional to 110,582.34, 165,873.62 and 27,476.34

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Solution

The fourth proportional to 110,582.34, 165,873.62 and 27,476.34 is: 41,214.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,582.34 : 165,873.62 = 27,476.34 : x
  2. Step 2: Convert to fraction form
    110,582.34/165,873.62 = 27,476.34/x
  3. Step 3: Cross multiply
    110,582.34x = 165,873.62 × 27,476.34
  4. Step 4: Simplify right side
    110,582.34x = 4,557,599,082.09
  5. Step 5: Solve for x
    x = 4,557,599,082.09/110,582.34
  6. Step 6: Final answer
    x = 41,214.53

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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.