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Finding the Fourth Proportional to 31,744.20, 47,619.54 and 10,965

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Solution

The fourth proportional to 31,744.20, 47,619.54 and 10,965 is: 16,448.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,744.20 : 47,619.54 = 10,965 : x
  2. Step 2: Convert to fraction form
    31,744.20/47,619.54 = 10,965/x
  3. Step 3: Cross multiply
    31,744.20x = 47,619.54 × 10,965
  4. Step 4: Simplify right side
    31,744.20x = 522,148,256.10
  5. Step 5: Solve for x
    x = 522,148,256.10/31,744.20
  6. Step 6: Final answer
    x = 16,448.62

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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.