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Finding the Fourth Proportional to 67,294.86, 100,954.18 and 27,829.86

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Solution

The fourth proportional to 67,294.86, 100,954.18 and 27,829.86 is: 41,749.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,294.86 : 100,954.18 = 27,829.86 : x
  2. Step 2: Convert to fraction form
    67,294.86/100,954.18 = 27,829.86/x
  3. Step 3: Cross multiply
    67,294.86x = 100,954.18 × 27,829.86
  4. Step 4: Simplify right side
    67,294.86x = 2,809,540,695.81
  5. Step 5: Solve for x
    x = 2,809,540,695.81/67,294.86
  6. Step 6: Final answer
    x = 41,749.71

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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.