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Finding the Fourth Proportional to 31,891.14, 44,009.78 and 17,744

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Solution

The fourth proportional to 31,891.14, 44,009.78 and 17,744 is: 24,486.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,891.14 : 44,009.78 = 17,744 : x
  2. Step 2: Convert to fraction form
    31,891.14/44,009.78 = 17,744/x
  3. Step 3: Cross multiply
    31,891.14x = 44,009.78 × 17,744
  4. Step 4: Simplify right side
    31,891.14x = 780,909,536.32
  5. Step 5: Solve for x
    x = 780,909,536.32/31,891.14
  6. Step 6: Final answer
    x = 24,486.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.