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Finding the Fourth Proportional to 132,608.58, 198,907.47 and 32,766.26

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Solution

The fourth proportional to 132,608.58, 198,907.47 and 32,766.26 is: 49,148.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,608.58 : 198,907.47 = 32,766.26 : x
  2. Step 2: Convert to fraction form
    132,608.58/198,907.47 = 32,766.26/x
  3. Step 3: Cross multiply
    132,608.58x = 198,907.47 × 32,766.26
  4. Step 4: Simplify right side
    132,608.58x = 6,517,453,877.96
  5. Step 5: Solve for x
    x = 6,517,453,877.96/132,608.58
  6. Step 6: Final answer
    x = 49,148.06

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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.