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Finding the Fourth Proportional to 31,835.46, 47,753.14 and 8,461.90

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Solution

The fourth proportional to 31,835.46, 47,753.14 and 8,461.90 is: 12,692.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,835.46 : 47,753.14 = 8,461.90 : x
  2. Step 2: Convert to fraction form
    31,835.46/47,753.14 = 8,461.90/x
  3. Step 3: Cross multiply
    31,835.46x = 47,753.14 × 8,461.90
  4. Step 4: Simplify right side
    31,835.46x = 404,082,333.90
  5. Step 5: Solve for x
    x = 404,082,333.90/31,835.46
  6. Step 6: Final answer
    x = 12,692.84

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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.