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Finding the Fourth Proportional to 31,773.70, 47,660.87 and 9,587.26

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Solution

The fourth proportional to 31,773.70, 47,660.87 and 9,587.26 is: 14,380.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,773.70 : 47,660.87 = 9,587.26 : x
  2. Step 2: Convert to fraction form
    31,773.70/47,660.87 = 9,587.26/x
  3. Step 3: Cross multiply
    31,773.70x = 47,660.87 × 9,587.26
  4. Step 4: Simplify right side
    31,773.70x = 456,937,236.06
  5. Step 5: Solve for x
    x = 456,937,236.06/31,773.70
  6. Step 6: Final answer
    x = 14,380.99

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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.