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Finding the Fourth Proportional to 67,213.38, 100,842.76 and 29,768.30

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Solution

The fourth proportional to 67,213.38, 100,842.76 and 29,768.30 is: 44,662.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,213.38 : 100,842.76 = 29,768.30 : x
  2. Step 2: Convert to fraction form
    67,213.38/100,842.76 = 29,768.30/x
  3. Step 3: Cross multiply
    67,213.38x = 100,842.76 × 29,768.30
  4. Step 4: Simplify right side
    67,213.38x = 3,001,917,532.51
  5. Step 5: Solve for x
    x = 3,001,917,532.51/67,213.38
  6. Step 6: Final answer
    x = 44,662.50

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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.