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Finding the Fourth Proportional to 31,843.50, 47,428.88 and 30,178.14

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Solution

The fourth proportional to 31,843.50, 47,428.88 and 30,178.14 is: 44,948.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,843.50 : 47,428.88 = 30,178.14 : x
  2. Step 2: Convert to fraction form
    31,843.50/47,428.88 = 30,178.14/x
  3. Step 3: Cross multiply
    31,843.50x = 47,428.88 × 30,178.14
  4. Step 4: Simplify right side
    31,843.50x = 1,431,315,229.79
  5. Step 5: Solve for x
    x = 1,431,315,229.79/31,843.50
  6. Step 6: Final answer
    x = 44,948.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.