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Finding the Fourth Proportional to 110,546.98, 165,852.76 and 35,665.46

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Solution

The fourth proportional to 110,546.98, 165,852.76 and 35,665.46 is: 53,508.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,546.98 : 165,852.76 = 35,665.46 : x
  2. Step 2: Convert to fraction form
    110,546.98/165,852.76 = 35,665.46/x
  3. Step 3: Cross multiply
    110,546.98x = 165,852.76 × 35,665.46
  4. Step 4: Simplify right side
    110,546.98x = 5,915,214,977.67
  5. Step 5: Solve for x
    x = 5,915,214,977.67/110,546.98
  6. Step 6: Final answer
    x = 53,508.61

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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.