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Finding the Fourth Proportional to 68,234.88, 102,385.44 and 51,477.24

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Solution

The fourth proportional to 68,234.88, 102,385.44 and 51,477.24 is: 77,240.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,234.88 : 102,385.44 = 51,477.24 : x
  2. Step 2: Convert to fraction form
    68,234.88/102,385.44 = 51,477.24/x
  3. Step 3: Cross multiply
    68,234.88x = 102,385.44 × 51,477.24
  4. Step 4: Simplify right side
    68,234.88x = 5,270,519,867.39
  5. Step 5: Solve for x
    x = 5,270,519,867.39/68,234.88
  6. Step 6: Final answer
    x = 77,240.85

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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.