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Finding the Fourth Proportional to 31,835.50, 47,753.19 and 8,461.93

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Solution

The fourth proportional to 31,835.50, 47,753.19 and 8,461.93 is: 12,692.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,835.50 : 47,753.19 = 8,461.93 : x
  2. Step 2: Convert to fraction form
    31,835.50/47,753.19 = 8,461.93/x
  3. Step 3: Cross multiply
    31,835.50x = 47,753.19 × 8,461.93
  4. Step 4: Simplify right side
    31,835.50x = 404,084,151.06
  5. Step 5: Solve for x
    x = 404,084,151.06/31,835.50
  6. Step 6: Final answer
    x = 12,692.88

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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.