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Finding the Fourth Proportional to 32,008.39, 44,171.57 and 17,668.22

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Solution

The fourth proportional to 32,008.39, 44,171.57 and 17,668.22 is: 24,382.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,008.39 : 44,171.57 = 17,668.22 : x
  2. Step 2: Convert to fraction form
    32,008.39/44,171.57 = 17,668.22/x
  3. Step 3: Cross multiply
    32,008.39x = 44,171.57 × 17,668.22
  4. Step 4: Simplify right side
    32,008.39x = 780,432,839.82
  5. Step 5: Solve for x
    x = 780,432,839.82/32,008.39
  6. Step 6: Final answer
    x = 24,382.14

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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.