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Finding the Fourth Proportional to 27,998.40, 42,046.20 and 27,123.60

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Solution

The fourth proportional to 27,998.40, 42,046.20 and 27,123.60 is: 40,732.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,998.40 : 42,046.20 = 27,123.60 : x
  2. Step 2: Convert to fraction form
    27,998.40/42,046.20 = 27,123.60/x
  3. Step 3: Cross multiply
    27,998.40x = 42,046.20 × 27,123.60
  4. Step 4: Simplify right side
    27,998.40x = 1,140,444,310.32
  5. Step 5: Solve for x
    x = 1,140,444,310.32/27,998.40
  6. Step 6: Final answer
    x = 40,732.48

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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.