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Finding the Fourth Proportional to 32,086.40, 48,187.20 and 31,049.60

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Solution

The fourth proportional to 32,086.40, 48,187.20 and 31,049.60 is: 46,630.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,086.40 : 48,187.20 = 31,049.60 : x
  2. Step 2: Convert to fraction form
    32,086.40/48,187.20 = 31,049.60/x
  3. Step 3: Cross multiply
    32,086.40x = 48,187.20 × 31,049.60
  4. Step 4: Simplify right side
    32,086.40x = 1,496,193,285.12
  5. Step 5: Solve for x
    x = 1,496,193,285.12/32,086.40
  6. Step 6: Final answer
    x = 46,630.14

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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.