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Finding the Fourth Proportional to 30,693.38, 46,049.80 and 10,971.50

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Solution

The fourth proportional to 30,693.38, 46,049.80 and 10,971.50 is: 16,460.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,693.38 : 46,049.80 = 10,971.50 : x
  2. Step 2: Convert to fraction form
    30,693.38/46,049.80 = 10,971.50/x
  3. Step 3: Cross multiply
    30,693.38x = 46,049.80 × 10,971.50
  4. Step 4: Simplify right side
    30,693.38x = 505,235,380.70
  5. Step 5: Solve for x
    x = 505,235,380.70/30,693.38
  6. Step 6: Final answer
    x = 16,460.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.