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Finding the Fourth Proportional to 68,284.56, 102,425.79 and 41,638.41

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Solution

The fourth proportional to 68,284.56, 102,425.79 and 41,638.41 is: 62,456.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,284.56 : 102,425.79 = 41,638.41 : x
  2. Step 2: Convert to fraction form
    68,284.56/102,425.79 = 41,638.41/x
  3. Step 3: Cross multiply
    68,284.56x = 102,425.79 × 41,638.41
  4. Step 4: Simplify right side
    68,284.56x = 4,264,847,038.59
  5. Step 5: Solve for x
    x = 4,264,847,038.59/68,284.56
  6. Step 6: Final answer
    x = 62,456.97

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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.