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Finding the Fourth Proportional to 30,693.45, 45,990.96 and 27,741

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Solution

The fourth proportional to 30,693.45, 45,990.96 and 27,741 is: 41,567.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,693.45 : 45,990.96 = 27,741 : x
  2. Step 2: Convert to fraction form
    30,693.45/45,990.96 = 27,741/x
  3. Step 3: Cross multiply
    30,693.45x = 45,990.96 × 27,741
  4. Step 4: Simplify right side
    30,693.45x = 1,275,835,221.36
  5. Step 5: Solve for x
    x = 1,275,835,221.36/30,693.45
  6. Step 6: Final answer
    x = 41,567.02

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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.