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Finding the Fourth Proportional to 31,893.12, 47,841.12 and 11,118.24

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Solution

The fourth proportional to 31,893.12, 47,841.12 and 11,118.24 is: 16,677.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,893.12 : 47,841.12 = 11,118.24 : x
  2. Step 2: Convert to fraction form
    31,893.12/47,841.12 = 11,118.24/x
  3. Step 3: Cross multiply
    31,893.12x = 47,841.12 × 11,118.24
  4. Step 4: Simplify right side
    31,893.12x = 531,909,054.03
  5. Step 5: Solve for x
    x = 531,909,054.03/31,893.12
  6. Step 6: Final answer
    x = 16,677.86

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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.