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Finding the Fourth Proportional to 31,186, 43,037.64 and 17,039.77

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Solution

The fourth proportional to 31,186, 43,037.64 and 17,039.77 is: 23,515.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,186 : 43,037.64 = 17,039.77 : x
  2. Step 2: Convert to fraction form
    31,186/43,037.64 = 17,039.77/x
  3. Step 3: Cross multiply
    31,186x = 43,037.64 × 17,039.77
  4. Step 4: Simplify right side
    31,186x = 733,351,486.94
  5. Step 5: Solve for x
    x = 733,351,486.94/31,186
  6. Step 6: Final answer
    x = 23,515.41

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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.