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Finding the Fourth Proportional to 31,980.50, 44,147.48 and 23,467.58

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Solution

The fourth proportional to 31,980.50, 44,147.48 and 23,467.58 is: 32,395.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,980.50 : 44,147.48 = 23,467.58 : x
  2. Step 2: Convert to fraction form
    31,980.50/44,147.48 = 23,467.58/x
  3. Step 3: Cross multiply
    31,980.50x = 44,147.48 × 23,467.58
  4. Step 4: Simplify right side
    31,980.50x = 1,036,034,180.62
  5. Step 5: Solve for x
    x = 1,036,034,180.62/31,980.50
  6. Step 6: Final answer
    x = 32,395.81

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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.