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Finding the Fourth Proportional to 71,286.64, 106,928.84 and 24,539.92

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Solution

The fourth proportional to 71,286.64, 106,928.84 and 24,539.92 is: 36,809.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,286.64 : 106,928.84 = 24,539.92 : x
  2. Step 2: Convert to fraction form
    71,286.64/106,928.84 = 24,539.92/x
  3. Step 3: Cross multiply
    71,286.64x = 106,928.84 × 24,539.92
  4. Step 4: Simplify right side
    71,286.64x = 2,624,025,179.29
  5. Step 5: Solve for x
    x = 2,624,025,179.29/71,286.64
  6. Step 6: Final answer
    x = 36,809.49

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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.