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Finding the Fourth Proportional to 31,595.27, 47,396.00 and 8,221.70

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Solution

The fourth proportional to 31,595.27, 47,396.00 and 8,221.70 is: 12,333.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,595.27 : 47,396.00 = 8,221.70 : x
  2. Step 2: Convert to fraction form
    31,595.27/47,396.00 = 8,221.70/x
  3. Step 3: Cross multiply
    31,595.27x = 47,396.00 × 8,221.70
  4. Step 4: Simplify right side
    31,595.27x = 389,675,832.24
  5. Step 5: Solve for x
    x = 389,675,832.24/31,595.27
  6. Step 6: Final answer
    x = 12,333.36

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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.