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Finding the Fourth Proportional to 30,644.70, 42,305.82 and 20,625.80

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Solution

The fourth proportional to 30,644.70, 42,305.82 and 20,625.80 is: 28,474.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,644.70 : 42,305.82 = 20,625.80 : x
  2. Step 2: Convert to fraction form
    30,644.70/42,305.82 = 20,625.80/x
  3. Step 3: Cross multiply
    30,644.70x = 42,305.82 × 20,625.80
  4. Step 4: Simplify right side
    30,644.70x = 872,591,382.16
  5. Step 5: Solve for x
    x = 872,591,382.16/30,644.70
  6. Step 6: Final answer
    x = 28,474.46

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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.