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Finding the Fourth Proportional to 34,771.14, 52,156.17 and 8,475.84

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Solution

The fourth proportional to 34,771.14, 52,156.17 and 8,475.84 is: 12,713.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,771.14 : 52,156.17 = 8,475.84 : x
  2. Step 2: Convert to fraction form
    34,771.14/52,156.17 = 8,475.84/x
  3. Step 3: Cross multiply
    34,771.14x = 52,156.17 × 8,475.84
  4. Step 4: Simplify right side
    34,771.14x = 442,067,351.93
  5. Step 5: Solve for x
    x = 442,067,351.93/34,771.14
  6. Step 6: Final answer
    x = 12,713.63

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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.