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Finding the Fourth Proportional to 110,076.93, 165,080.82 and 46,896.39

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Solution

The fourth proportional to 110,076.93, 165,080.82 and 46,896.39 is: 70,329.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,076.93 : 165,080.82 = 46,896.39 : x
  2. Step 2: Convert to fraction form
    110,076.93/165,080.82 = 46,896.39/x
  3. Step 3: Cross multiply
    110,076.93x = 165,080.82 × 46,896.39
  4. Step 4: Simplify right side
    110,076.93x = 7,741,694,516.24
  5. Step 5: Solve for x
    x = 7,741,694,516.24/110,076.93
  6. Step 6: Final answer
    x = 70,329.85

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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.