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Finding the Fourth Proportional to 73,039.76, 100,786.20 and 41,206.80

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Solution

The fourth proportional to 73,039.76, 100,786.20 and 41,206.80 is: 56,860.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,039.76 : 100,786.20 = 41,206.80 : x
  2. Step 2: Convert to fraction form
    73,039.76/100,786.20 = 41,206.80/x
  3. Step 3: Cross multiply
    73,039.76x = 100,786.20 × 41,206.80
  4. Step 4: Simplify right side
    73,039.76x = 4,153,076,786.16
  5. Step 5: Solve for x
    x = 4,153,076,786.16/73,039.76
  6. Step 6: Final answer
    x = 56,860.49

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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.