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Finding the Fourth Proportional to 31,705.71, 43,754.18 and 17,558.84

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Solution

The fourth proportional to 31,705.71, 43,754.18 and 17,558.84 is: 24,231.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,705.71 : 43,754.18 = 17,558.84 : x
  2. Step 2: Convert to fraction form
    31,705.71/43,754.18 = 17,558.84/x
  3. Step 3: Cross multiply
    31,705.71x = 43,754.18 × 17,558.84
  4. Step 4: Simplify right side
    31,705.71x = 768,272,339.39
  5. Step 5: Solve for x
    x = 768,272,339.39/31,705.71
  6. Step 6: Final answer
    x = 24,231.36

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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.