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Finding the Fourth Proportional to 51,563.52, 71,170.56 and 31,680

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Solution

The fourth proportional to 51,563.52, 71,170.56 and 31,680 is: 43,726.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,563.52 : 71,170.56 = 31,680 : x
  2. Step 2: Convert to fraction form
    51,563.52/71,170.56 = 31,680/x
  3. Step 3: Cross multiply
    51,563.52x = 71,170.56 × 31,680
  4. Step 4: Simplify right side
    51,563.52x = 2,254,683,340.80
  5. Step 5: Solve for x
    x = 2,254,683,340.80/51,563.52
  6. Step 6: Final answer
    x = 43,726.33

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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.