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Finding the Fourth Proportional to 49,416.77, 68,200.02 and 28,199.22

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Solution

The fourth proportional to 49,416.77, 68,200.02 and 28,199.22 is: 38,917.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,416.77 : 68,200.02 = 28,199.22 : x
  2. Step 2: Convert to fraction form
    49,416.77/68,200.02 = 28,199.22/x
  3. Step 3: Cross multiply
    49,416.77x = 68,200.02 × 28,199.22
  4. Step 4: Simplify right side
    49,416.77x = 1,923,187,367.98
  5. Step 5: Solve for x
    x = 1,923,187,367.98/49,416.77
  6. Step 6: Final answer
    x = 38,917.71

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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.