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Finding the Fourth Proportional to 31,930.85, 47,896.28 and 9,744.34

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Solution

The fourth proportional to 31,930.85, 47,896.28 and 9,744.34 is: 14,616.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,930.85 : 47,896.28 = 9,744.34 : x
  2. Step 2: Convert to fraction form
    31,930.85/47,896.28 = 9,744.34/x
  3. Step 3: Cross multiply
    31,930.85x = 47,896.28 × 9,744.34
  4. Step 4: Simplify right side
    31,930.85x = 466,717,637.06
  5. Step 5: Solve for x
    x = 466,717,637.06/31,930.85
  6. Step 6: Final answer
    x = 14,616.51

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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.