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Finding the Fourth Proportional to 68,498.34, 102,805.83 and 26,974.50

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Solution

The fourth proportional to 68,498.34, 102,805.83 and 26,974.50 is: 40,484.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,498.34 : 102,805.83 = 26,974.50 : x
  2. Step 2: Convert to fraction form
    68,498.34/102,805.83 = 26,974.50/x
  3. Step 3: Cross multiply
    68,498.34x = 102,805.83 × 26,974.50
  4. Step 4: Simplify right side
    68,498.34x = 2,773,135,861.34
  5. Step 5: Solve for x
    x = 2,773,135,861.34/68,498.34
  6. Step 6: Final answer
    x = 40,484.72

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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.