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Finding the Fourth Proportional to 32,049.46, 48,032.36 and 23,194.61

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Solution

The fourth proportional to 32,049.46, 48,032.36 and 23,194.61 is: 34,761.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,049.46 : 48,032.36 = 23,194.61 : x
  2. Step 2: Convert to fraction form
    32,049.46/48,032.36 = 23,194.61/x
  3. Step 3: Cross multiply
    32,049.46x = 48,032.36 × 23,194.61
  4. Step 4: Simplify right side
    32,049.46x = 1,114,091,857.58
  5. Step 5: Solve for x
    x = 1,114,091,857.58/32,049.46
  6. Step 6: Final answer
    x = 34,761.64

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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.