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Finding the Fourth Proportional to 30,980.25, 42,752.43 and 16,833.15

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Solution

The fourth proportional to 30,980.25, 42,752.43 and 16,833.15 is: 23,229.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,980.25 : 42,752.43 = 16,833.15 : x
  2. Step 2: Convert to fraction form
    30,980.25/42,752.43 = 16,833.15/x
  3. Step 3: Cross multiply
    30,980.25x = 42,752.43 × 16,833.15
  4. Step 4: Simplify right side
    30,980.25x = 719,658,067.05
  5. Step 5: Solve for x
    x = 719,658,067.05/30,980.25
  6. Step 6: Final answer
    x = 23,229.58

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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.