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Finding the Fourth Proportional to 31,661.36, 47,474.50 and 12,954.54

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Solution

The fourth proportional to 31,661.36, 47,474.50 and 12,954.54 is: 19,424.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,661.36 : 47,474.50 = 12,954.54 : x
  2. Step 2: Convert to fraction form
    31,661.36/47,474.50 = 12,954.54/x
  3. Step 3: Cross multiply
    31,661.36x = 47,474.50 × 12,954.54
  4. Step 4: Simplify right side
    31,661.36x = 615,010,309.23
  5. Step 5: Solve for x
    x = 615,010,309.23/31,661.36
  6. Step 6: Final answer
    x = 19,424.63

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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.