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Finding the Fourth Proportional to 31,975.20, 44,093.09 and 21,216.31

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Solution

The fourth proportional to 31,975.20, 44,093.09 and 21,216.31 is: 29,256.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,975.20 : 44,093.09 = 21,216.31 : x
  2. Step 2: Convert to fraction form
    31,975.20/44,093.09 = 21,216.31/x
  3. Step 3: Cross multiply
    31,975.20x = 44,093.09 × 21,216.31
  4. Step 4: Simplify right side
    31,975.20x = 935,492,609.11
  5. Step 5: Solve for x
    x = 935,492,609.11/31,975.20
  6. Step 6: Final answer
    x = 29,256.82

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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.