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Finding the Fourth Proportional to 31,409.57, 43,389.30 and 28,571.94

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Solution

The fourth proportional to 31,409.57, 43,389.30 and 28,571.94 is: 39,469.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,409.57 : 43,389.30 = 28,571.94 : x
  2. Step 2: Convert to fraction form
    31,409.57/43,389.30 = 28,571.94/x
  3. Step 3: Cross multiply
    31,409.57x = 43,389.30 × 28,571.94
  4. Step 4: Simplify right side
    31,409.57x = 1,239,716,342.31
  5. Step 5: Solve for x
    x = 1,239,716,342.31/31,409.57
  6. Step 6: Final answer
    x = 39,469.38

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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.