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Finding the Fourth Proportional to 132,442.44, 198,658.32 and 32,597.76

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Solution

The fourth proportional to 132,442.44, 198,658.32 and 32,597.76 is: 48,895.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,442.44 : 198,658.32 = 32,597.76 : x
  2. Step 2: Convert to fraction form
    132,442.44/198,658.32 = 32,597.76/x
  3. Step 3: Cross multiply
    132,442.44x = 198,658.32 × 32,597.76
  4. Step 4: Simplify right side
    132,442.44x = 6,475,816,237.36
  5. Step 5: Solve for x
    x = 6,475,816,237.36/132,442.44
  6. Step 6: Final answer
    x = 48,895.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.