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Finding the Fourth Proportional to 31,770.70, 43,842.96 and 17,623.24

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Solution

The fourth proportional to 31,770.70, 43,842.96 and 17,623.24 is: 24,319.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,770.70 : 43,842.96 = 17,623.24 : x
  2. Step 2: Convert to fraction form
    31,770.70/43,842.96 = 17,623.24/x
  3. Step 3: Cross multiply
    31,770.70x = 43,842.96 × 17,623.24
  4. Step 4: Simplify right side
    31,770.70x = 772,655,006.39
  5. Step 5: Solve for x
    x = 772,655,006.39/31,770.70
  6. Step 6: Final answer
    x = 24,319.74

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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.