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Finding the Fourth Proportional to 68,609.30, 102,914.73 and 24,204.87

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Solution

The fourth proportional to 68,609.30, 102,914.73 and 24,204.87 is: 36,307.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,609.30 : 102,914.73 = 24,204.87 : x
  2. Step 2: Convert to fraction form
    68,609.30/102,914.73 = 24,204.87/x
  3. Step 3: Cross multiply
    68,609.30x = 102,914.73 × 24,204.87
  4. Step 4: Simplify right side
    68,609.30x = 2,491,037,660.74
  5. Step 5: Solve for x
    x = 2,491,037,660.74/68,609.30
  6. Step 6: Final answer
    x = 36,307.58

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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.