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Finding the Fourth Proportional to 55,744.41, 76,942.04 and 34,511.61

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Solution

The fourth proportional to 55,744.41, 76,942.04 and 34,511.61 is: 47,635.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,744.41 : 76,942.04 = 34,511.61 : x
  2. Step 2: Convert to fraction form
    55,744.41/76,942.04 = 34,511.61/x
  3. Step 3: Cross multiply
    55,744.41x = 76,942.04 × 34,511.61
  4. Step 4: Simplify right side
    55,744.41x = 2,655,393,504.53
  5. Step 5: Solve for x
    x = 2,655,393,504.53/55,744.41
  6. Step 6: Final answer
    x = 47,635.15

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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.