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Finding the Fourth Proportional to 110,574.75, 165,862.30 and 33,638.42

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Solution

The fourth proportional to 110,574.75, 165,862.30 and 33,638.42 is: 50,457.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,574.75 : 165,862.30 = 33,638.42 : x
  2. Step 2: Convert to fraction form
    110,574.75/165,862.30 = 33,638.42/x
  3. Step 3: Cross multiply
    110,574.75x = 165,862.30 × 33,638.42
  4. Step 4: Simplify right side
    110,574.75x = 5,579,345,709.57
  5. Step 5: Solve for x
    x = 5,579,345,709.57/110,574.75
  6. Step 6: Final answer
    x = 50,457.68

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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.