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Finding the Fourth Proportional to 31,571.87, 43,569.09 and 17,424.61

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Solution

The fourth proportional to 31,571.87, 43,569.09 and 17,424.61 is: 24,045.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,571.87 : 43,569.09 = 17,424.61 : x
  2. Step 2: Convert to fraction form
    31,571.87/43,569.09 = 17,424.61/x
  3. Step 3: Cross multiply
    31,571.87x = 43,569.09 × 17,424.61
  4. Step 4: Simplify right side
    31,571.87x = 759,174,292.38
  5. Step 5: Solve for x
    x = 759,174,292.38/31,571.87
  6. Step 6: Final answer
    x = 24,045.91

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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.