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Finding the Fourth Proportional to 57,163.70, 85,502.55 and 51,283.10

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Solution

The fourth proportional to 57,163.70, 85,502.55 and 51,283.10 is: 76,706.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,163.70 : 85,502.55 = 51,283.10 : x
  2. Step 2: Convert to fraction form
    57,163.70/85,502.55 = 51,283.10/x
  3. Step 3: Cross multiply
    57,163.70x = 85,502.55 × 51,283.10
  4. Step 4: Simplify right side
    57,163.70x = 4,384,835,821.91
  5. Step 5: Solve for x
    x = 4,384,835,821.91/57,163.70
  6. Step 6: Final answer
    x = 76,706.65

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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.