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Finding the Fourth Proportional to 57,197.57, 85,796.58 and 31,912.67

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Solution

The fourth proportional to 57,197.57, 85,796.58 and 31,912.67 is: 47,869.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,197.57 : 85,796.58 = 31,912.67 : x
  2. Step 2: Convert to fraction form
    57,197.57/85,796.58 = 31,912.67/x
  3. Step 3: Cross multiply
    57,197.57x = 85,796.58 × 31,912.67
  4. Step 4: Simplify right side
    57,197.57x = 2,737,998,278.83
  5. Step 5: Solve for x
    x = 2,737,998,278.83/57,197.57
  6. Step 6: Final answer
    x = 47,869.14

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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.