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Finding the Fourth Proportional to 68,047.58, 102,100.64 and 23,650.13

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Solution

The fourth proportional to 68,047.58, 102,100.64 and 23,650.13 is: 35,485.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,047.58 : 102,100.64 = 23,650.13 : x
  2. Step 2: Convert to fraction form
    68,047.58/102,100.64 = 23,650.13/x
  3. Step 3: Cross multiply
    68,047.58x = 102,100.64 × 23,650.13
  4. Step 4: Simplify right side
    68,047.58x = 2,414,693,546.08
  5. Step 5: Solve for x
    x = 2,414,693,546.08/68,047.58
  6. Step 6: Final answer
    x = 35,485.37

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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.