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Finding the Fourth Proportional to 31,503.60, 47,251.62 and 8,131.86

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Solution

The fourth proportional to 31,503.60, 47,251.62 and 8,131.86 is: 12,196.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,503.60 : 47,251.62 = 8,131.86 : x
  2. Step 2: Convert to fraction form
    31,503.60/47,251.62 = 8,131.86/x
  3. Step 3: Cross multiply
    31,503.60x = 47,251.62 × 8,131.86
  4. Step 4: Simplify right side
    31,503.60x = 384,243,558.61
  5. Step 5: Solve for x
    x = 384,243,558.61/31,503.60
  6. Step 6: Final answer
    x = 12,196.81

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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.