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Finding the Fourth Proportional to 50,716.23, 69,992.76 and 29,494

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Solution

The fourth proportional to 50,716.23, 69,992.76 and 29,494 is: 40,704.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,716.23 : 69,992.76 = 29,494 : x
  2. Step 2: Convert to fraction form
    50,716.23/69,992.76 = 29,494/x
  3. Step 3: Cross multiply
    50,716.23x = 69,992.76 × 29,494
  4. Step 4: Simplify right side
    50,716.23x = 2,064,366,463.44
  5. Step 5: Solve for x
    x = 2,064,366,463.44/50,716.23
  6. Step 6: Final answer
    x = 40,704.26

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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.