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Finding the Fourth Proportional to 51,496.57, 71,067 and 28,836.51

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Solution

The fourth proportional to 51,496.57, 71,067 and 28,836.51 is: 39,795.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,496.57 : 71,067 = 28,836.51 : x
  2. Step 2: Convert to fraction form
    51,496.57/71,067 = 28,836.51/x
  3. Step 3: Cross multiply
    51,496.57x = 71,067 × 28,836.51
  4. Step 4: Simplify right side
    51,496.57x = 2,049,324,256.17
  5. Step 5: Solve for x
    x = 2,049,324,256.17/51,496.57
  6. Step 6: Final answer
    x = 39,795.35

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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.