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Finding the Fourth Proportional to 57,057.45, 85,586.10 and 21,972.50

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Solution

The fourth proportional to 57,057.45, 85,586.10 and 21,972.50 is: 32,958.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,057.45 : 85,586.10 = 21,972.50 : x
  2. Step 2: Convert to fraction form
    57,057.45/85,586.10 = 21,972.50/x
  3. Step 3: Cross multiply
    57,057.45x = 85,586.10 × 21,972.50
  4. Step 4: Simplify right side
    57,057.45x = 1,880,540,582.25
  5. Step 5: Solve for x
    x = 1,880,540,582.25/57,057.45
  6. Step 6: Final answer
    x = 32,958.72

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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.