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Finding the Fourth Proportional to 50,107.86, 68,991.48 and 42,538.50

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Solution

The fourth proportional to 50,107.86, 68,991.48 and 42,538.50 is: 58,569.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,107.86 : 68,991.48 = 42,538.50 : x
  2. Step 2: Convert to fraction form
    50,107.86/68,991.48 = 42,538.50/x
  3. Step 3: Cross multiply
    50,107.86x = 68,991.48 × 42,538.50
  4. Step 4: Simplify right side
    50,107.86x = 2,934,794,071.98
  5. Step 5: Solve for x
    x = 2,934,794,071.98/50,107.86
  6. Step 6: Final answer
    x = 58,569.54

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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.