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Finding the Fourth Proportional to 82,609.80, 123,845.04 and 35,827.44

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Solution

The fourth proportional to 82,609.80, 123,845.04 and 35,827.44 is: 53,710.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,609.80 : 123,845.04 = 35,827.44 : x
  2. Step 2: Convert to fraction form
    82,609.80/123,845.04 = 35,827.44/x
  3. Step 3: Cross multiply
    82,609.80x = 123,845.04 × 35,827.44
  4. Step 4: Simplify right side
    82,609.80x = 4,437,050,739.90
  5. Step 5: Solve for x
    x = 4,437,050,739.90/82,609.80
  6. Step 6: Final answer
    x = 53,710.95

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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.