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Finding the Fourth Proportional to 31,770.17, 43,842.17 and 17,622.89

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Solution

The fourth proportional to 31,770.17, 43,842.17 and 17,622.89 is: 24,319.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,770.17 : 43,842.17 = 17,622.89 : x
  2. Step 2: Convert to fraction form
    31,770.17/43,842.17 = 17,622.89/x
  3. Step 3: Cross multiply
    31,770.17x = 43,842.17 × 17,622.89
  4. Step 4: Simplify right side
    31,770.17x = 772,625,651.16
  5. Step 5: Solve for x
    x = 772,625,651.16/31,770.17
  6. Step 6: Final answer
    x = 24,319.22

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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.