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Finding the Fourth Proportional to 68,842.30, 103,221.90 and 30,884.65

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Solution

The fourth proportional to 68,842.30, 103,221.90 and 30,884.65 is: 46,308.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,842.30 : 103,221.90 = 30,884.65 : x
  2. Step 2: Convert to fraction form
    68,842.30/103,221.90 = 30,884.65/x
  3. Step 3: Cross multiply
    68,842.30x = 103,221.90 × 30,884.65
  4. Step 4: Simplify right side
    68,842.30x = 3,187,972,253.84
  5. Step 5: Solve for x
    x = 3,187,972,253.84/68,842.30
  6. Step 6: Final answer
    x = 46,308.33

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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.