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Finding the Fourth Proportional to 102,481.98, 153,745.72 and 31,414.48

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Solution

The fourth proportional to 102,481.98, 153,745.72 and 31,414.48 is: 47,128.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,481.98 : 153,745.72 = 31,414.48 : x
  2. Step 2: Convert to fraction form
    102,481.98/153,745.72 = 31,414.48/x
  3. Step 3: Cross multiply
    102,481.98x = 153,745.72 × 31,414.48
  4. Step 4: Simplify right side
    102,481.98x = 4,829,841,846.03
  5. Step 5: Solve for x
    x = 4,829,841,846.03/102,481.98
  6. Step 6: Final answer
    x = 47,128.69

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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.