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Finding the Fourth Proportional to 41,651.82, 57,419.69 and 29,694.40

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Solution

The fourth proportional to 41,651.82, 57,419.69 and 29,694.40 is: 40,935.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,651.82 : 57,419.69 = 29,694.40 : x
  2. Step 2: Convert to fraction form
    41,651.82/57,419.69 = 29,694.40/x
  3. Step 3: Cross multiply
    41,651.82x = 57,419.69 × 29,694.40
  4. Step 4: Simplify right side
    41,651.82x = 1,705,042,950.71
  5. Step 5: Solve for x
    x = 1,705,042,950.71/41,651.82
  6. Step 6: Final answer
    x = 40,935.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.