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Finding the Fourth Proportional to 68,707.56, 102,892.38 and 33,533.80

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Solution

The fourth proportional to 68,707.56, 102,892.38 and 33,533.80 is: 50,218.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,707.56 : 102,892.38 = 33,533.80 : x
  2. Step 2: Convert to fraction form
    68,707.56/102,892.38 = 33,533.80/x
  3. Step 3: Cross multiply
    68,707.56x = 102,892.38 × 33,533.80
  4. Step 4: Simplify right side
    68,707.56x = 3,450,372,492.44
  5. Step 5: Solve for x
    x = 3,450,372,492.44/68,707.56
  6. Step 6: Final answer
    x = 50,218.24

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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.