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Finding the Fourth Proportional to 30,857.54, 46,171.46 and 27,091.50

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Solution

The fourth proportional to 30,857.54, 46,171.46 and 27,091.50 is: 40,536.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,857.54 : 46,171.46 = 27,091.50 : x
  2. Step 2: Convert to fraction form
    30,857.54/46,171.46 = 27,091.50/x
  3. Step 3: Cross multiply
    30,857.54x = 46,171.46 × 27,091.50
  4. Step 4: Simplify right side
    30,857.54x = 1,250,854,108.59
  5. Step 5: Solve for x
    x = 1,250,854,108.59/30,857.54
  6. Step 6: Final answer
    x = 40,536.42

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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.