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Finding the Fourth Proportional to 34,741.38, 52,112.07 and 8,446.14

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Solution

The fourth proportional to 34,741.38, 52,112.07 and 8,446.14 is: 12,669.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,741.38 : 52,112.07 = 8,446.14 : x
  2. Step 2: Convert to fraction form
    34,741.38/52,112.07 = 8,446.14/x
  3. Step 3: Cross multiply
    34,741.38x = 52,112.07 × 8,446.14
  4. Step 4: Simplify right side
    34,741.38x = 440,145,838.91
  5. Step 5: Solve for x
    x = 440,145,838.91/34,741.38
  6. Step 6: Final answer
    x = 12,669.21

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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.