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Finding the Fourth Proportional to 51,696.77, 71,339.73 and 31,587.30

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Solution

The fourth proportional to 51,696.77, 71,339.73 and 31,587.30 is: 43,589.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,696.77 : 71,339.73 = 31,587.30 : x
  2. Step 2: Convert to fraction form
    51,696.77/71,339.73 = 31,587.30/x
  3. Step 3: Cross multiply
    51,696.77x = 71,339.73 × 31,587.30
  4. Step 4: Simplify right side
    51,696.77x = 2,253,429,453.43
  5. Step 5: Solve for x
    x = 2,253,429,453.43/51,696.77
  6. Step 6: Final answer
    x = 43,589.37

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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.