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Finding the Fourth Proportional to 31,893.60, 47,814.48 and 11,131.68

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Solution

The fourth proportional to 31,893.60, 47,814.48 and 11,131.68 is: 16,688.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,893.60 : 47,814.48 = 11,131.68 : x
  2. Step 2: Convert to fraction form
    31,893.60/47,814.48 = 11,131.68/x
  3. Step 3: Cross multiply
    31,893.60x = 47,814.48 × 11,131.68
  4. Step 4: Simplify right side
    31,893.60x = 532,255,490.73
  5. Step 5: Solve for x
    x = 532,255,490.73/31,893.60
  6. Step 6: Final answer
    x = 16,688.47

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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.