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Finding the Fourth Proportional to 31,186.50, 43,037.37 and 17,039.45

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Solution

The fourth proportional to 31,186.50, 43,037.37 and 17,039.45 is: 23,514.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,186.50 : 43,037.37 = 17,039.45 : x
  2. Step 2: Convert to fraction form
    31,186.50/43,037.37 = 17,039.45/x
  3. Step 3: Cross multiply
    31,186.50x = 43,037.37 × 17,039.45
  4. Step 4: Simplify right side
    31,186.50x = 733,332,899.06
  5. Step 5: Solve for x
    x = 733,332,899.06/31,186.50
  6. Step 6: Final answer
    x = 23,514.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.