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Finding the Fourth Proportional to 132,496.27, 198,745.62 and 37,726.39

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Solution

The fourth proportional to 132,496.27, 198,745.62 and 37,726.39 is: 56,589.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,496.27 : 198,745.62 = 37,726.39 : x
  2. Step 2: Convert to fraction form
    132,496.27/198,745.62 = 37,726.39/x
  3. Step 3: Cross multiply
    132,496.27x = 198,745.62 × 37,726.39
  4. Step 4: Simplify right side
    132,496.27x = 7,497,954,770.91
  5. Step 5: Solve for x
    x = 7,497,954,770.91/132,496.27
  6. Step 6: Final answer
    x = 56,589.93

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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.