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Finding the Fourth Proportional to 68,676.60, 102,842.10 and 45,175.80

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Solution

The fourth proportional to 68,676.60, 102,842.10 and 45,175.80 is: 67,650.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,676.60 : 102,842.10 = 45,175.80 : x
  2. Step 2: Convert to fraction form
    68,676.60/102,842.10 = 45,175.80/x
  3. Step 3: Cross multiply
    68,676.60x = 102,842.10 × 45,175.80
  4. Step 4: Simplify right side
    68,676.60x = 4,645,974,141.18
  5. Step 5: Solve for x
    x = 4,645,974,141.18/68,676.60
  6. Step 6: Final answer
    x = 67,650.03

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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.