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Finding the Fourth Proportional to 82,302.80, 123,511.80 and 35,589.20

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Solution

The fourth proportional to 82,302.80, 123,511.80 and 35,589.20 is: 53,408.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,302.80 : 123,511.80 = 35,589.20 : x
  2. Step 2: Convert to fraction form
    82,302.80/123,511.80 = 35,589.20/x
  3. Step 3: Cross multiply
    82,302.80x = 123,511.80 × 35,589.20
  4. Step 4: Simplify right side
    82,302.80x = 4,395,686,152.56
  5. Step 5: Solve for x
    x = 4,395,686,152.56/82,302.80
  6. Step 6: Final answer
    x = 53,408.71

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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.