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Finding the Fourth Proportional to 70,791.14, 106,137.50 and 31,326.72

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Solution

The fourth proportional to 70,791.14, 106,137.50 and 31,326.72 is: 46,968.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,791.14 : 106,137.50 = 31,326.72 : x
  2. Step 2: Convert to fraction form
    70,791.14/106,137.50 = 31,326.72/x
  3. Step 3: Cross multiply
    70,791.14x = 106,137.50 × 31,326.72
  4. Step 4: Simplify right side
    70,791.14x = 3,324,939,587.37
  5. Step 5: Solve for x
    x = 3,324,939,587.37/70,791.14
  6. Step 6: Final answer
    x = 46,968.30

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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.