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Finding the Fourth Proportional to 32,409.60, 48,687.30 and 31,170.30

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Solution

The fourth proportional to 32,409.60, 48,687.30 and 31,170.30 is: 46,825.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,409.60 : 48,687.30 = 31,170.30 : x
  2. Step 2: Convert to fraction form
    32,409.60/48,687.30 = 31,170.30/x
  3. Step 3: Cross multiply
    32,409.60x = 48,687.30 × 31,170.30
  4. Step 4: Simplify right side
    32,409.60x = 1,517,597,747.19
  5. Step 5: Solve for x
    x = 1,517,597,747.19/32,409.60
  6. Step 6: Final answer
    x = 46,825.56

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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.