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Finding the Fourth Proportional to 34,950, 48,232.92 and 20,046.96

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Solution

The fourth proportional to 34,950, 48,232.92 and 20,046.96 is: 27,665.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,950 : 48,232.92 = 20,046.96 : x
  2. Step 2: Convert to fraction form
    34,950/48,232.92 = 20,046.96/x
  3. Step 3: Cross multiply
    34,950x = 48,232.92 × 20,046.96
  4. Step 4: Simplify right side
    34,950x = 966,923,417.92
  5. Step 5: Solve for x
    x = 966,923,417.92/34,950
  6. Step 6: Final answer
    x = 27,665.91

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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.