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Finding the Fourth Proportional to 31,808.16, 43,896.63 and 17,661

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Solution

The fourth proportional to 31,808.16, 43,896.63 and 17,661 is: 24,372.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,808.16 : 43,896.63 = 17,661 : x
  2. Step 2: Convert to fraction form
    31,808.16/43,896.63 = 17,661/x
  3. Step 3: Cross multiply
    31,808.16x = 43,896.63 × 17,661
  4. Step 4: Simplify right side
    31,808.16x = 775,258,382.43
  5. Step 5: Solve for x
    x = 775,258,382.43/31,808.16
  6. Step 6: Final answer
    x = 24,372.94

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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.