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Finding the Fourth Proportional to 30,980.48, 42,753.24 and 16,833.44

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Solution

The fourth proportional to 30,980.48, 42,753.24 and 16,833.44 is: 23,230.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,980.48 : 42,753.24 = 16,833.44 : x
  2. Step 2: Convert to fraction form
    30,980.48/42,753.24 = 16,833.44/x
  3. Step 3: Cross multiply
    30,980.48x = 42,753.24 × 16,833.44
  4. Step 4: Simplify right side
    30,980.48x = 719,684,100.35
  5. Step 5: Solve for x
    x = 719,684,100.35/30,980.48
  6. Step 6: Final answer
    x = 23,230.24

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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.