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Finding the Fourth Proportional to 30,943.82, 42,702.37 and 16,796.66

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Solution

The fourth proportional to 30,943.82, 42,702.37 and 16,796.66 is: 23,179.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,943.82 : 42,702.37 = 16,796.66 : x
  2. Step 2: Convert to fraction form
    30,943.82/42,702.37 = 16,796.66/x
  3. Step 3: Cross multiply
    30,943.82x = 42,702.37 × 16,796.66
  4. Step 4: Simplify right side
    30,943.82x = 717,257,190.08
  5. Step 5: Solve for x
    x = 717,257,190.08/30,943.82
  6. Step 6: Final answer
    x = 23,179.34

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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.