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Finding the Fourth Proportional to 34,232.20, 51,233.10 and 31,467.40

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Solution

The fourth proportional to 34,232.20, 51,233.10 and 31,467.40 is: 47,095.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,232.20 : 51,233.10 = 31,467.40 : x
  2. Step 2: Convert to fraction form
    34,232.20/51,233.10 = 31,467.40/x
  3. Step 3: Cross multiply
    34,232.20x = 51,233.10 × 31,467.40
  4. Step 4: Simplify right side
    34,232.20x = 1,612,172,450.94
  5. Step 5: Solve for x
    x = 1,612,172,450.94/34,232.20
  6. Step 6: Final answer
    x = 47,095.20

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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.