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Finding the Fourth Proportional to 57,695.67, 86,543.46 and 16,142.67

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Solution

The fourth proportional to 57,695.67, 86,543.46 and 16,142.67 is: 24,213.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,695.67 : 86,543.46 = 16,142.67 : x
  2. Step 2: Convert to fraction form
    57,695.67/86,543.46 = 16,142.67/x
  3. Step 3: Cross multiply
    57,695.67x = 86,543.46 × 16,142.67
  4. Step 4: Simplify right side
    57,695.67x = 1,397,042,515.44
  5. Step 5: Solve for x
    x = 1,397,042,515.44/57,695.67
  6. Step 6: Final answer
    x = 24,213.99

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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.