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Finding the Fourth Proportional to 32,043.49, 48,006.90 and 31,343.65

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Solution

The fourth proportional to 32,043.49, 48,006.90 and 31,343.65 is: 46,958.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,043.49 : 48,006.90 = 31,343.65 : x
  2. Step 2: Convert to fraction form
    32,043.49/48,006.90 = 31,343.65/x
  3. Step 3: Cross multiply
    32,043.49x = 48,006.90 × 31,343.65
  4. Step 4: Simplify right side
    32,043.49x = 1,504,711,231.15
  5. Step 5: Solve for x
    x = 1,504,711,231.15/32,043.49
  6. Step 6: Final answer
    x = 46,958.41

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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.