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Finding the Fourth Proportional to 30,796.98, 42,499.86 and 16,649.82

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Solution

The fourth proportional to 30,796.98, 42,499.86 and 16,649.82 is: 22,976.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,796.98 : 42,499.86 = 16,649.82 : x
  2. Step 2: Convert to fraction form
    30,796.98/42,499.86 = 16,649.82/x
  3. Step 3: Cross multiply
    30,796.98x = 42,499.86 × 16,649.82
  4. Step 4: Simplify right side
    30,796.98x = 707,615,019.03
  5. Step 5: Solve for x
    x = 707,615,019.03/30,796.98
  6. Step 6: Final answer
    x = 22,976.77

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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.