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Finding the Fourth Proportional to 31,811.70, 43,896.01 and 17,661.81

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Solution

The fourth proportional to 31,811.70, 43,896.01 and 17,661.81 is: 24,371.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,811.70 : 43,896.01 = 17,661.81 : x
  2. Step 2: Convert to fraction form
    31,811.70/43,896.01 = 17,661.81/x
  3. Step 3: Cross multiply
    31,811.70x = 43,896.01 × 17,661.81
  4. Step 4: Simplify right side
    31,811.70x = 775,282,988.38
  5. Step 5: Solve for x
    x = 775,282,988.38/31,811.70
  6. Step 6: Final answer
    x = 24,371.00

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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.