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Finding the Fourth Proportional to 49,493.45, 68,300.11 and 27,982.86

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Solution

The fourth proportional to 49,493.45, 68,300.11 and 27,982.86 is: 38,615.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,493.45 : 68,300.11 = 27,982.86 : x
  2. Step 2: Convert to fraction form
    49,493.45/68,300.11 = 27,982.86/x
  3. Step 3: Cross multiply
    49,493.45x = 68,300.11 × 27,982.86
  4. Step 4: Simplify right side
    49,493.45x = 1,911,232,416.11
  5. Step 5: Solve for x
    x = 1,911,232,416.11/49,493.45
  6. Step 6: Final answer
    x = 38,615.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.