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Finding the Fourth Proportional to 85,222.92, 127,834.37 and 32,632.41

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Solution

The fourth proportional to 85,222.92, 127,834.37 and 32,632.41 is: 48,948.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,222.92 : 127,834.37 = 32,632.41 : x
  2. Step 2: Convert to fraction form
    85,222.92/127,834.37 = 32,632.41/x
  3. Step 3: Cross multiply
    85,222.92x = 127,834.37 × 32,632.41
  4. Step 4: Simplify right side
    85,222.92x = 4,171,543,573.93
  5. Step 5: Solve for x
    x = 4,171,543,573.93/85,222.92
  6. Step 6: Final answer
    x = 48,948.61

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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.