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Finding the Fourth Proportional to 31,753.38, 43,817.54 and 18,325.20

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Solution

The fourth proportional to 31,753.38, 43,817.54 and 18,325.20 is: 25,287.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,753.38 : 43,817.54 = 18,325.20 : x
  2. Step 2: Convert to fraction form
    31,753.38/43,817.54 = 18,325.20/x
  3. Step 3: Cross multiply
    31,753.38x = 43,817.54 × 18,325.20
  4. Step 4: Simplify right side
    31,753.38x = 802,965,184.01
  5. Step 5: Solve for x
    x = 802,965,184.01/31,753.38
  6. Step 6: Final answer
    x = 25,287.55

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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.