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Finding the Fourth Proportional to 110,341, 165,511.91 and 27,235

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Solution

The fourth proportional to 110,341, 165,511.91 and 27,235 is: 40,852.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,341 : 165,511.91 = 27,235 : x
  2. Step 2: Convert to fraction form
    110,341/165,511.91 = 27,235/x
  3. Step 3: Cross multiply
    110,341x = 165,511.91 × 27,235
  4. Step 4: Simplify right side
    110,341x = 4,507,716,868.85
  5. Step 5: Solve for x
    x = 4,507,716,868.85/110,341
  6. Step 6: Final answer
    x = 40,852.60

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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.