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Finding the Fourth Proportional to 31,997.35, 47,997.24 and 12,277.90

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Solution

The fourth proportional to 31,997.35, 47,997.24 and 12,277.90 is: 18,417.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,997.35 : 47,997.24 = 12,277.90 : x
  2. Step 2: Convert to fraction form
    31,997.35/47,997.24 = 12,277.90/x
  3. Step 3: Cross multiply
    31,997.35x = 47,997.24 × 12,277.90
  4. Step 4: Simplify right side
    31,997.35x = 589,305,313.00
  5. Step 5: Solve for x
    x = 589,305,313.00/31,997.35
  6. Step 6: Final answer
    x = 18,417.32

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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.