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Finding the Fourth Proportional to 31,661.17, 47,474.20 and 12,954.33

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Solution

The fourth proportional to 31,661.17, 47,474.20 and 12,954.33 is: 19,424.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,661.17 : 47,474.20 = 12,954.33 : x
  2. Step 2: Convert to fraction form
    31,661.17/47,474.20 = 12,954.33/x
  3. Step 3: Cross multiply
    31,661.17x = 47,474.20 × 12,954.33
  4. Step 4: Simplify right side
    31,661.17x = 614,996,453.29
  5. Step 5: Solve for x
    x = 614,996,453.29/31,661.17
  6. Step 6: Final answer
    x = 19,424.31

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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.