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Finding the Fourth Proportional to 52,786.28, 79,173.05 and 13,343.74

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Solution

The fourth proportional to 52,786.28, 79,173.05 and 13,343.74 is: 20,013.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,786.28 : 79,173.05 = 13,343.74 : x
  2. Step 2: Convert to fraction form
    52,786.28/79,173.05 = 13,343.74/x
  3. Step 3: Cross multiply
    52,786.28x = 79,173.05 × 13,343.74
  4. Step 4: Simplify right side
    52,786.28x = 1,056,464,329.56
  5. Step 5: Solve for x
    x = 1,056,464,329.56/52,786.28
  6. Step 6: Final answer
    x = 20,013.99

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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.