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Finding the Fourth Proportional to 31,329.40, 43,234.22 and 17,182.20

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Solution

The fourth proportional to 31,329.40, 43,234.22 and 17,182.20 is: 23,711.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,329.40 : 43,234.22 = 17,182.20 : x
  2. Step 2: Convert to fraction form
    31,329.40/43,234.22 = 17,182.20/x
  3. Step 3: Cross multiply
    31,329.40x = 43,234.22 × 17,182.20
  4. Step 4: Simplify right side
    31,329.40x = 742,859,014.88
  5. Step 5: Solve for x
    x = 742,859,014.88/31,329.40
  6. Step 6: Final answer
    x = 23,711.24

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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.