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Finding the Fourth Proportional to 31,812, 43,900.56 and 20,634

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Solution

The fourth proportional to 31,812, 43,900.56 and 20,634 is: 28,474.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,812 : 43,900.56 = 20,634 : x
  2. Step 2: Convert to fraction form
    31,812/43,900.56 = 20,634/x
  3. Step 3: Cross multiply
    31,812x = 43,900.56 × 20,634
  4. Step 4: Simplify right side
    31,812x = 905,844,155.04
  5. Step 5: Solve for x
    x = 905,844,155.04/31,812
  6. Step 6: Final answer
    x = 28,474.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.