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Finding the Fourth Proportional to 30,796.30, 42,498.92 and 16,649.14

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Solution

The fourth proportional to 30,796.30, 42,498.92 and 16,649.14 is: 22,975.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,796.30 : 42,498.92 = 16,649.14 : x
  2. Step 2: Convert to fraction form
    30,796.30/42,498.92 = 16,649.14/x
  3. Step 3: Cross multiply
    30,796.30x = 42,498.92 × 16,649.14
  4. Step 4: Simplify right side
    30,796.30x = 707,570,468.93
  5. Step 5: Solve for x
    x = 707,570,468.93/30,796.30
  6. Step 6: Final answer
    x = 22,975.83

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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.