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Finding the Fourth Proportional to 50,675.41, 69,940.76 and 29,467

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Solution

The fourth proportional to 50,675.41, 69,940.76 and 29,467 is: 40,669.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,675.41 : 69,940.76 = 29,467 : x
  2. Step 2: Convert to fraction form
    50,675.41/69,940.76 = 29,467/x
  3. Step 3: Cross multiply
    50,675.41x = 69,940.76 × 29,467
  4. Step 4: Simplify right side
    50,675.41x = 2,060,944,374.92
  5. Step 5: Solve for x
    x = 2,060,944,374.92/50,675.41
  6. Step 6: Final answer
    x = 40,669.52

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