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Finding the Fourth Proportional to 68,410.84, 102,771.98 and 49,493.84

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Solution

The fourth proportional to 68,410.84, 102,771.98 and 49,493.84 is: 74,353.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,410.84 : 102,771.98 = 49,493.84 : x
  2. Step 2: Convert to fraction form
    68,410.84/102,771.98 = 49,493.84/x
  3. Step 3: Cross multiply
    68,410.84x = 102,771.98 × 49,493.84
  4. Step 4: Simplify right side
    68,410.84x = 5,086,579,934.60
  5. Step 5: Solve for x
    x = 5,086,579,934.60/68,410.84
  6. Step 6: Final answer
    x = 74,353.42

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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.