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Finding the Fourth Proportional to 68,305.41, 102,511.10 and 47,392.22

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Solution

The fourth proportional to 68,305.41, 102,511.10 and 47,392.22 is: 71,125.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,305.41 : 102,511.10 = 47,392.22 : x
  2. Step 2: Convert to fraction form
    68,305.41/102,511.10 = 47,392.22/x
  3. Step 3: Cross multiply
    68,305.41x = 102,511.10 × 47,392.22
  4. Step 4: Simplify right side
    68,305.41x = 4,858,228,978.40
  5. Step 5: Solve for x
    x = 4,858,228,978.40/68,305.41
  6. Step 6: Final answer
    x = 71,125.10

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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.