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Finding the Fourth Proportional to 82,422.63, 123,634.08 and 29,819.88

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Solution

The fourth proportional to 82,422.63, 123,634.08 and 29,819.88 is: 44,729.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,422.63 : 123,634.08 = 29,819.88 : x
  2. Step 2: Convert to fraction form
    82,422.63/123,634.08 = 29,819.88/x
  3. Step 3: Cross multiply
    82,422.63x = 123,634.08 × 29,819.88
  4. Step 4: Simplify right side
    82,422.63x = 3,686,753,429.51
  5. Step 5: Solve for x
    x = 3,686,753,429.51/82,422.63
  6. Step 6: Final answer
    x = 44,729.87

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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.