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Finding the Fourth Proportional to 31,472.16, 47,241 and 13,954.28

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Solution

The fourth proportional to 31,472.16, 47,241 and 13,954.28 is: 20,945.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,472.16 : 47,241 = 13,954.28 : x
  2. Step 2: Convert to fraction form
    31,472.16/47,241 = 13,954.28/x
  3. Step 3: Cross multiply
    31,472.16x = 47,241 × 13,954.28
  4. Step 4: Simplify right side
    31,472.16x = 659,214,141.48
  5. Step 5: Solve for x
    x = 659,214,141.48/31,472.16
  6. Step 6: Final answer
    x = 20,945.95

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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.