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Finding the Fourth Proportional to 132,471.26, 198,706.94 and 32,633.39

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Solution

The fourth proportional to 132,471.26, 198,706.94 and 32,633.39 is: 48,950.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,471.26 : 198,706.94 = 32,633.39 : x
  2. Step 2: Convert to fraction form
    132,471.26/198,706.94 = 32,633.39/x
  3. Step 3: Cross multiply
    132,471.26x = 198,706.94 × 32,633.39
  4. Step 4: Simplify right side
    132,471.26x = 6,484,481,402.33
  5. Step 5: Solve for x
    x = 6,484,481,402.33/132,471.26
  6. Step 6: Final answer
    x = 48,950.10

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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.