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Finding the Fourth Proportional to 50,948.76, 76,423.09 and 33,414.49

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Solution

The fourth proportional to 50,948.76, 76,423.09 and 33,414.49 is: 50,121.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,948.76 : 76,423.09 = 33,414.49 : x
  2. Step 2: Convert to fraction form
    50,948.76/76,423.09 = 33,414.49/x
  3. Step 3: Cross multiply
    50,948.76x = 76,423.09 × 33,414.49
  4. Step 4: Simplify right side
    50,948.76x = 2,553,638,576.57
  5. Step 5: Solve for x
    x = 2,553,638,576.57/50,948.76
  6. Step 6: Final answer
    x = 50,121.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.