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Finding the Fourth Proportional to 51,490.94, 71,020.85 and 47,255.67

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Solution

The fourth proportional to 51,490.94, 71,020.85 and 47,255.67 is: 65,179.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,490.94 : 71,020.85 = 47,255.67 : x
  2. Step 2: Convert to fraction form
    51,490.94/71,020.85 = 47,255.67/x
  3. Step 3: Cross multiply
    51,490.94x = 71,020.85 × 47,255.67
  4. Step 4: Simplify right side
    51,490.94x = 3,356,137,614.44
  5. Step 5: Solve for x
    x = 3,356,137,614.44/51,490.94
  6. Step 6: Final answer
    x = 65,179.19

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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.