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Finding the Fourth Proportional to 82,449.80, 123,732.30 and 35,736.20

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Solution

The fourth proportional to 82,449.80, 123,732.30 and 35,736.20 is: 53,629.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,449.80 : 123,732.30 = 35,736.20 : x
  2. Step 2: Convert to fraction form
    82,449.80/123,732.30 = 35,736.20/x
  3. Step 3: Cross multiply
    82,449.80x = 123,732.30 × 35,736.20
  4. Step 4: Simplify right side
    82,449.80x = 4,421,722,219.26
  5. Step 5: Solve for x
    x = 4,421,722,219.26/82,449.80
  6. Step 6: Final answer
    x = 53,629.27

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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.