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Finding the Fourth Proportional to 32,414.60, 48,694.80 and 31,175.30

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Solution

The fourth proportional to 32,414.60, 48,694.80 and 31,175.30 is: 46,833.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,414.60 : 48,694.80 = 31,175.30 : x
  2. Step 2: Convert to fraction form
    32,414.60/48,694.80 = 31,175.30/x
  3. Step 3: Cross multiply
    32,414.60x = 48,694.80 × 31,175.30
  4. Step 4: Simplify right side
    32,414.60x = 1,518,074,998.44
  5. Step 5: Solve for x
    x = 1,518,074,998.44/32,414.60
  6. Step 6: Final answer
    x = 46,833.06

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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.