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Finding the Fourth Proportional to 82,405.60, 123,608.40 and 44,951.20

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Solution

The fourth proportional to 82,405.60, 123,608.40 and 44,951.20 is: 67,426.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,405.60 : 123,608.40 = 44,951.20 : x
  2. Step 2: Convert to fraction form
    82,405.60/123,608.40 = 44,951.20/x
  3. Step 3: Cross multiply
    82,405.60x = 123,608.40 × 44,951.20
  4. Step 4: Simplify right side
    82,405.60x = 5,556,345,910.08
  5. Step 5: Solve for x
    x = 5,556,345,910.08/82,405.60
  6. Step 6: Final answer
    x = 67,426.80

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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.