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Finding the Fourth Proportional to 31,311.84, 43,210.74 and 17,164.38

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Solution

The fourth proportional to 31,311.84, 43,210.74 and 17,164.38 is: 23,687.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,311.84 : 43,210.74 = 17,164.38 : x
  2. Step 2: Convert to fraction form
    31,311.84/43,210.74 = 17,164.38/x
  3. Step 3: Cross multiply
    31,311.84x = 43,210.74 × 17,164.38
  4. Step 4: Simplify right side
    31,311.84x = 741,685,561.44
  5. Step 5: Solve for x
    x = 741,685,561.44/31,311.84
  6. Step 6: Final answer
    x = 23,687.06

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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.