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Finding the Fourth Proportional to 50,705.73, 76,051.85 and 13,262.82

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Solution

The fourth proportional to 50,705.73, 76,051.85 and 13,262.82 is: 19,892.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,705.73 : 76,051.85 = 13,262.82 : x
  2. Step 2: Convert to fraction form
    50,705.73/76,051.85 = 13,262.82/x
  3. Step 3: Cross multiply
    50,705.73x = 76,051.85 × 13,262.82
  4. Step 4: Simplify right side
    50,705.73x = 1,008,661,930.90
  5. Step 5: Solve for x
    x = 1,008,661,930.90/50,705.73
  6. Step 6: Final answer
    x = 19,892.46

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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.