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Finding the Fourth Proportional to 31,843, 47,428.13 and 30,177.64

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Solution

The fourth proportional to 31,843, 47,428.13 and 30,177.64 is: 44,947.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,843 : 47,428.13 = 30,177.64 : x
  2. Step 2: Convert to fraction form
    31,843/47,428.13 = 30,177.64/x
  3. Step 3: Cross multiply
    31,843x = 47,428.13 × 30,177.64
  4. Step 4: Simplify right side
    31,843x = 1,431,269,033.01
  5. Step 5: Solve for x
    x = 1,431,269,033.01/31,843
  6. Step 6: Final answer
    x = 44,947.68

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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.