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Finding the Fourth Proportional to 68,149.80, 102,268.43 and 33,070.32

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Solution

The fourth proportional to 68,149.80, 102,268.43 and 33,070.32 is: 49,626.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,149.80 : 102,268.43 = 33,070.32 : x
  2. Step 2: Convert to fraction form
    68,149.80/102,268.43 = 33,070.32/x
  3. Step 3: Cross multiply
    68,149.80x = 102,268.43 × 33,070.32
  4. Step 4: Simplify right side
    68,149.80x = 3,382,049,706.00
  5. Step 5: Solve for x
    x = 3,382,049,706.00/68,149.80
  6. Step 6: Final answer
    x = 49,626.70

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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.