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Finding the Fourth Proportional to 31,551.45, 47,327.16 and 8,177.88

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Solution

The fourth proportional to 31,551.45, 47,327.16 and 8,177.88 is: 12,266.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,551.45 : 47,327.16 = 8,177.88 : x
  2. Step 2: Convert to fraction form
    31,551.45/47,327.16 = 8,177.88/x
  3. Step 3: Cross multiply
    31,551.45x = 47,327.16 × 8,177.88
  4. Step 4: Simplify right side
    31,551.45x = 387,035,835.22
  5. Step 5: Solve for x
    x = 387,035,835.22/31,551.45
  6. Step 6: Final answer
    x = 12,266.82

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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.