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Finding the Fourth Proportional to 51,962.92, 78,069.22 and 33,279.26

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Solution

The fourth proportional to 51,962.92, 78,069.22 and 33,279.26 is: 49,998.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,962.92 : 78,069.22 = 33,279.26 : x
  2. Step 2: Convert to fraction form
    51,962.92/78,069.22 = 33,279.26/x
  3. Step 3: Cross multiply
    51,962.92x = 78,069.22 × 33,279.26
  4. Step 4: Simplify right side
    51,962.92x = 2,598,085,396.83
  5. Step 5: Solve for x
    x = 2,598,085,396.83/51,962.92
  6. Step 6: Final answer
    x = 49,998.84

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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.