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Finding the Fourth Proportional to 127,299.96, 190,950 and 33,805.71

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Solution

The fourth proportional to 127,299.96, 190,950 and 33,805.71 is: 50,708.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,299.96 : 190,950 = 33,805.71 : x
  2. Step 2: Convert to fraction form
    127,299.96/190,950 = 33,805.71/x
  3. Step 3: Cross multiply
    127,299.96x = 190,950 × 33,805.71
  4. Step 4: Simplify right side
    127,299.96x = 6,455,200,324.50
  5. Step 5: Solve for x
    x = 6,455,200,324.50/127,299.96
  6. Step 6: Final answer
    x = 50,708.58

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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.