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Finding the Fourth Proportional to 31,842.82, 43,943.88 and 17,696.44

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Solution

The fourth proportional to 31,842.82, 43,943.88 and 17,696.44 is: 24,421.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,842.82 : 43,943.88 = 17,696.44 : x
  2. Step 2: Convert to fraction form
    31,842.82/43,943.88 = 17,696.44/x
  3. Step 3: Cross multiply
    31,842.82x = 43,943.88 × 17,696.44
  4. Step 4: Simplify right side
    31,842.82x = 777,650,235.79
  5. Step 5: Solve for x
    x = 777,650,235.79/31,842.82
  6. Step 6: Final answer
    x = 24,421.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.