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Finding the Fourth Proportional to 49,706.50, 74,531.52 and 33,930.64

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Solution

The fourth proportional to 49,706.50, 74,531.52 and 33,930.64 is: 50,876.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,706.50 : 74,531.52 = 33,930.64 : x
  2. Step 2: Convert to fraction form
    49,706.50/74,531.52 = 33,930.64/x
  3. Step 3: Cross multiply
    49,706.50x = 74,531.52 × 33,930.64
  4. Step 4: Simplify right side
    49,706.50x = 2,528,902,004.12
  5. Step 5: Solve for x
    x = 2,528,902,004.12/49,706.50
  6. Step 6: Final answer
    x = 50,876.69

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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.