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Finding the Fourth Proportional to 31,841.37, 47,775.12 and 16,844.58

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Solution

The fourth proportional to 31,841.37, 47,775.12 and 16,844.58 is: 25,273.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,841.37 : 47,775.12 = 16,844.58 : x
  2. Step 2: Convert to fraction form
    31,841.37/47,775.12 = 16,844.58/x
  3. Step 3: Cross multiply
    31,841.37x = 47,775.12 × 16,844.58
  4. Step 4: Simplify right side
    31,841.37x = 804,751,830.85
  5. Step 5: Solve for x
    x = 804,751,830.85/31,841.37
  6. Step 6: Final answer
    x = 25,273.78

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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.