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Finding the Fourth Proportional to 37,414.94, 51,632.92 and 20,419.32

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Solution

The fourth proportional to 37,414.94, 51,632.92 and 20,419.32 is: 28,178.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,414.94 : 51,632.92 = 20,419.32 : x
  2. Step 2: Convert to fraction form
    37,414.94/51,632.92 = 20,419.32/x
  3. Step 3: Cross multiply
    37,414.94x = 51,632.92 × 20,419.32
  4. Step 4: Simplify right side
    37,414.94x = 1,054,309,116.01
  5. Step 5: Solve for x
    x = 1,054,309,116.01/37,414.94
  6. Step 6: Final answer
    x = 28,178.83

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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.