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Finding the Fourth Proportional to 30,996.30, 42,774.39 and 16,849.50

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Solution

The fourth proportional to 30,996.30, 42,774.39 and 16,849.50 is: 23,252.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,996.30 : 42,774.39 = 16,849.50 : x
  2. Step 2: Convert to fraction form
    30,996.30/42,774.39 = 16,849.50/x
  3. Step 3: Cross multiply
    30,996.30x = 42,774.39 × 16,849.50
  4. Step 4: Simplify right side
    30,996.30x = 720,727,084.31
  5. Step 5: Solve for x
    x = 720,727,084.31/30,996.30
  6. Step 6: Final answer
    x = 23,252.04

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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.