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Finding the Fourth Proportional to 96,576.69, 144,906.65 and 52,234.66

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Solution

The fourth proportional to 96,576.69, 144,906.65 and 52,234.66 is: 78,374.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,576.69 : 144,906.65 = 52,234.66 : x
  2. Step 2: Convert to fraction form
    96,576.69/144,906.65 = 52,234.66/x
  3. Step 3: Cross multiply
    96,576.69x = 144,906.65 × 52,234.66
  4. Step 4: Simplify right side
    96,576.69x = 7,569,149,594.49
  5. Step 5: Solve for x
    x = 7,569,149,594.49/96,576.69
  6. Step 6: Final answer
    x = 78,374.50

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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.