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Finding the Fourth Proportional to 68,836.98, 103,234.82 and 24,457.89

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Solution

The fourth proportional to 68,836.98, 103,234.82 and 24,457.89 is: 36,679.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,836.98 : 103,234.82 = 24,457.89 : x
  2. Step 2: Convert to fraction form
    68,836.98/103,234.82 = 24,457.89/x
  3. Step 3: Cross multiply
    68,836.98x = 103,234.82 × 24,457.89
  4. Step 4: Simplify right side
    68,836.98x = 2,524,905,749.44
  5. Step 5: Solve for x
    x = 2,524,905,749.44/68,836.98
  6. Step 6: Final answer
    x = 36,679.50

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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.