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Finding the Fourth Proportional to 31,772.71, 47,659.40 and 9,586.27

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Solution

The fourth proportional to 31,772.71, 47,659.40 and 9,586.27 is: 14,379.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,772.71 : 47,659.40 = 9,586.27 : x
  2. Step 2: Convert to fraction form
    31,772.71/47,659.40 = 9,586.27/x
  3. Step 3: Cross multiply
    31,772.71x = 47,659.40 × 9,586.27
  4. Step 4: Simplify right side
    31,772.71x = 456,875,876.44
  5. Step 5: Solve for x
    x = 456,875,876.44/31,772.71
  6. Step 6: Final answer
    x = 14,379.51

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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.