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Finding the Fourth Proportional to 68,168.00, 102,047.42 and 41,431.47

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Solution

The fourth proportional to 68,168.00, 102,047.42 and 41,431.47 is: 62,022.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,168.00 : 102,047.42 = 41,431.47 : x
  2. Step 2: Convert to fraction form
    68,168.00/102,047.42 = 41,431.47/x
  3. Step 3: Cross multiply
    68,168.00x = 102,047.42 × 41,431.47
  4. Step 4: Simplify right side
    68,168.00x = 4,227,974,224.68
  5. Step 5: Solve for x
    x = 4,227,974,224.68/68,168.00
  6. Step 6: Final answer
    x = 62,022.86

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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.