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Finding the Fourth Proportional to 32,183.40, 48,332.70 and 31,146.60

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Solution

The fourth proportional to 32,183.40, 48,332.70 and 31,146.60 is: 46,775.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,183.40 : 48,332.70 = 31,146.60 : x
  2. Step 2: Convert to fraction form
    32,183.40/48,332.70 = 31,146.60/x
  3. Step 3: Cross multiply
    32,183.40x = 48,332.70 × 31,146.60
  4. Step 4: Simplify right side
    32,183.40x = 1,505,399,273.82
  5. Step 5: Solve for x
    x = 1,505,399,273.82/32,183.40
  6. Step 6: Final answer
    x = 46,775.64

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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.