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Finding the Fourth Proportional to 34,823.96, 52,234.32 and 8,527.32

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Solution

The fourth proportional to 34,823.96, 52,234.32 and 8,527.32 is: 12,790.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,823.96 : 52,234.32 = 8,527.32 : x
  2. Step 2: Convert to fraction form
    34,823.96/52,234.32 = 8,527.32/x
  3. Step 3: Cross multiply
    34,823.96x = 52,234.32 × 8,527.32
  4. Step 4: Simplify right side
    34,823.96x = 445,418,761.62
  5. Step 5: Solve for x
    x = 445,418,761.62/34,823.96
  6. Step 6: Final answer
    x = 12,790.58

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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.