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Finding the Fourth Proportional to 71,147.22, 106,751.79 and 33,733.50

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Solution

The fourth proportional to 71,147.22, 106,751.79 and 33,733.50 is: 50,614.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,147.22 : 106,751.79 = 33,733.50 : x
  2. Step 2: Convert to fraction form
    71,147.22/106,751.79 = 33,733.50/x
  3. Step 3: Cross multiply
    71,147.22x = 106,751.79 × 33,733.50
  4. Step 4: Simplify right side
    71,147.22x = 3,601,111,507.97
  5. Step 5: Solve for x
    x = 3,601,111,507.97/71,147.22
  6. Step 6: Final answer
    x = 50,614.93

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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.