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Finding the Fourth Proportional to 30,796.46, 42,499.17 and 16,649.30

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Solution

The fourth proportional to 30,796.46, 42,499.17 and 16,649.30 is: 22,976.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,796.46 : 42,499.17 = 16,649.30 : x
  2. Step 2: Convert to fraction form
    30,796.46/42,499.17 = 16,649.30/x
  3. Step 3: Cross multiply
    30,796.46x = 42,499.17 × 16,649.30
  4. Step 4: Simplify right side
    30,796.46x = 707,581,431.08
  5. Step 5: Solve for x
    x = 707,581,431.08/30,796.46
  6. Step 6: Final answer
    x = 22,976.06

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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.