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Finding the Fourth Proportional to 50,790, 76,185.18 and 13,854

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Solution

The fourth proportional to 50,790, 76,185.18 and 13,854 is: 20,781.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,790 : 76,185.18 = 13,854 : x
  2. Step 2: Convert to fraction form
    50,790/76,185.18 = 13,854/x
  3. Step 3: Cross multiply
    50,790x = 76,185.18 × 13,854
  4. Step 4: Simplify right side
    50,790x = 1,055,469,483.72
  5. Step 5: Solve for x
    x = 1,055,469,483.72/50,790
  6. Step 6: Final answer
    x = 20,781.05

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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.