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Finding the Fourth Proportional to 31,770.36, 43,842.78 and 17,622.84

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Solution

The fourth proportional to 31,770.36, 43,842.78 and 17,622.84 is: 24,319.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,770.36 : 43,842.78 = 17,622.84 : x
  2. Step 2: Convert to fraction form
    31,770.36/43,842.78 = 17,622.84/x
  3. Step 3: Cross multiply
    31,770.36x = 43,842.78 × 17,622.84
  4. Step 4: Simplify right side
    31,770.36x = 772,634,297.10
  5. Step 5: Solve for x
    x = 772,634,297.10/31,770.36
  6. Step 6: Final answer
    x = 24,319.34

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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.