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Finding the Fourth Proportional to 32,576.96, 48,943.68 and 20,912.96

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Solution

The fourth proportional to 32,576.96, 48,943.68 and 20,912.96 is: 31,419.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,576.96 : 48,943.68 = 20,912.96 : x
  2. Step 2: Convert to fraction form
    32,576.96/48,943.68 = 20,912.96/x
  3. Step 3: Cross multiply
    32,576.96x = 48,943.68 × 20,912.96
  4. Step 4: Simplify right side
    32,576.96x = 1,023,557,222.09
  5. Step 5: Solve for x
    x = 1,023,557,222.09/32,576.96
  6. Step 6: Final answer
    x = 31,419.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.