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Finding the Fourth Proportional to 31,837.41, 43,936.03 and 17,498.81

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Solution

The fourth proportional to 31,837.41, 43,936.03 and 17,498.81 is: 24,148.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,837.41 : 43,936.03 = 17,498.81 : x
  2. Step 2: Convert to fraction form
    31,837.41/43,936.03 = 17,498.81/x
  3. Step 3: Cross multiply
    31,837.41x = 43,936.03 × 17,498.81
  4. Step 4: Simplify right side
    31,837.41x = 768,828,200.05
  5. Step 5: Solve for x
    x = 768,828,200.05/31,837.41
  6. Step 6: Final answer
    x = 24,148.58

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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.