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Finding the Fourth Proportional to 30,893.34, 46,339.92 and 11,171.82

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Solution

The fourth proportional to 30,893.34, 46,339.92 and 11,171.82 is: 16,757.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,893.34 : 46,339.92 = 11,171.82 : x
  2. Step 2: Convert to fraction form
    30,893.34/46,339.92 = 11,171.82/x
  3. Step 3: Cross multiply
    30,893.34x = 46,339.92 × 11,171.82
  4. Step 4: Simplify right side
    30,893.34x = 517,701,245.05
  5. Step 5: Solve for x
    x = 517,701,245.05/30,893.34
  6. Step 6: Final answer
    x = 16,757.70

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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.