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Finding the Fourth Proportional to 132,493.37, 198,735.37 and 37,724.03

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Solution

The fourth proportional to 132,493.37, 198,735.37 and 37,724.03 is: 56,584.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,493.37 : 198,735.37 = 37,724.03 : x
  2. Step 2: Convert to fraction form
    132,493.37/198,735.37 = 37,724.03/x
  3. Step 3: Cross multiply
    132,493.37x = 198,735.37 × 37,724.03
  4. Step 4: Simplify right side
    132,493.37x = 7,497,098,929.41
  5. Step 5: Solve for x
    x = 7,497,098,929.41/132,493.37
  6. Step 6: Final answer
    x = 56,584.71

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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.