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Finding the Fourth Proportional to 31,825.80, 43,920.58 and 17,679.64

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Solution

The fourth proportional to 31,825.80, 43,920.58 and 17,679.64 is: 24,398.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,825.80 : 43,920.58 = 17,679.64 : x
  2. Step 2: Convert to fraction form
    31,825.80/43,920.58 = 17,679.64/x
  3. Step 3: Cross multiply
    31,825.80x = 43,920.58 × 17,679.64
  4. Step 4: Simplify right side
    31,825.80x = 776,500,042.99
  5. Step 5: Solve for x
    x = 776,500,042.99/31,825.80
  6. Step 6: Final answer
    x = 24,398.45

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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.