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Finding the Fourth Proportional to 31,288.50, 43,178.13 and 18,716.22

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Solution

The fourth proportional to 31,288.50, 43,178.13 and 18,716.22 is: 25,828.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,288.50 : 43,178.13 = 18,716.22 : x
  2. Step 2: Convert to fraction form
    31,288.50/43,178.13 = 18,716.22/x
  3. Step 3: Cross multiply
    31,288.50x = 43,178.13 × 18,716.22
  4. Step 4: Simplify right side
    31,288.50x = 808,131,380.27
  5. Step 5: Solve for x
    x = 808,131,380.27/31,288.50
  6. Step 6: Final answer
    x = 25,828.38

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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.