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Finding the Fourth Proportional to 31,572.75, 43,571 and 17,425.29

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Solution

The fourth proportional to 31,572.75, 43,571 and 17,425.29 is: 24,047.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,572.75 : 43,571 = 17,425.29 : x
  2. Step 2: Convert to fraction form
    31,572.75/43,571 = 17,425.29/x
  3. Step 3: Cross multiply
    31,572.75x = 43,571 × 17,425.29
  4. Step 4: Simplify right side
    31,572.75x = 759,237,310.59
  5. Step 5: Solve for x
    x = 759,237,310.59/31,572.75
  6. Step 6: Final answer
    x = 24,047.23

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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.