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Finding the Fourth Proportional to 82,367.28, 123,769.44 and 44,954.64

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Solution

The fourth proportional to 82,367.28, 123,769.44 and 44,954.64 is: 67,551.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,367.28 : 123,769.44 = 44,954.64 : x
  2. Step 2: Convert to fraction form
    82,367.28/123,769.44 = 44,954.64/x
  3. Step 3: Cross multiply
    82,367.28x = 123,769.44 × 44,954.64
  4. Step 4: Simplify right side
    82,367.28x = 5,564,010,618.20
  5. Step 5: Solve for x
    x = 5,564,010,618.20/82,367.28
  6. Step 6: Final answer
    x = 67,551.22

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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.