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Finding the Fourth Proportional to 96,576.67, 144,906.63 and 52,234.64

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Solution

The fourth proportional to 96,576.67, 144,906.63 and 52,234.64 is: 78,374.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,576.67 : 144,906.63 = 52,234.64 : x
  2. Step 2: Convert to fraction form
    96,576.67/144,906.63 = 52,234.64/x
  3. Step 3: Cross multiply
    96,576.67x = 144,906.63 × 52,234.64
  4. Step 4: Simplify right side
    96,576.67x = 7,569,145,149.86
  5. Step 5: Solve for x
    x = 7,569,145,149.86/96,576.67
  6. Step 6: Final answer
    x = 78,374.47

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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.