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Finding the Fourth Proportional to 110,617.02, 165,924.72 and 27,511.02

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Solution

The fourth proportional to 110,617.02, 165,924.72 and 27,511.02 is: 41,266.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,617.02 : 165,924.72 = 27,511.02 : x
  2. Step 2: Convert to fraction form
    110,617.02/165,924.72 = 27,511.02/x
  3. Step 3: Cross multiply
    110,617.02x = 165,924.72 × 27,511.02
  4. Step 4: Simplify right side
    110,617.02x = 4,564,758,290.41
  5. Step 5: Solve for x
    x = 4,564,758,290.41/110,617.02
  6. Step 6: Final answer
    x = 41,266.33

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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.