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Finding the Fourth Proportional to 30,930.66, 42,665.13 and 27,150.84

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Solution

The fourth proportional to 30,930.66, 42,665.13 and 27,150.84 is: 37,451.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,930.66 : 42,665.13 = 27,150.84 : x
  2. Step 2: Convert to fraction form
    30,930.66/42,665.13 = 27,150.84/x
  3. Step 3: Cross multiply
    30,930.66x = 42,665.13 × 27,150.84
  4. Step 4: Simplify right side
    30,930.66x = 1,158,394,118.21
  5. Step 5: Solve for x
    x = 1,158,394,118.21/30,930.66
  6. Step 6: Final answer
    x = 37,451.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.