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Finding the Fourth Proportional to 51,309.60, 76,972.50 and 21,727.62

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Solution

The fourth proportional to 51,309.60, 76,972.50 and 21,727.62 is: 32,594.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,309.60 : 76,972.50 = 21,727.62 : x
  2. Step 2: Convert to fraction form
    51,309.60/76,972.50 = 21,727.62/x
  3. Step 3: Cross multiply
    51,309.60x = 76,972.50 × 21,727.62
  4. Step 4: Simplify right side
    51,309.60x = 1,672,429,230.45
  5. Step 5: Solve for x
    x = 1,672,429,230.45/51,309.60
  6. Step 6: Final answer
    x = 32,594.86

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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.