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Finding the Fourth Proportional to 51,809.46, 71,474.58 and 32,674.14

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Solution

The fourth proportional to 51,809.46, 71,474.58 and 32,674.14 is: 45,076.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,809.46 : 71,474.58 = 32,674.14 : x
  2. Step 2: Convert to fraction form
    51,809.46/71,474.58 = 32,674.14/x
  3. Step 3: Cross multiply
    51,809.46x = 71,474.58 × 32,674.14
  4. Step 4: Simplify right side
    51,809.46x = 2,335,370,433.36
  5. Step 5: Solve for x
    x = 2,335,370,433.36/51,809.46
  6. Step 6: Final answer
    x = 45,076.14

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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.