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Finding the Fourth Proportional to 77,091.34, 106,403.83 and 50,187

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Solution

The fourth proportional to 77,091.34, 106,403.83 and 50,187 is: 69,269.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,091.34 : 106,403.83 = 50,187 : x
  2. Step 2: Convert to fraction form
    77,091.34/106,403.83 = 50,187/x
  3. Step 3: Cross multiply
    77,091.34x = 106,403.83 × 50,187
  4. Step 4: Simplify right side
    77,091.34x = 5,340,089,016.21
  5. Step 5: Solve for x
    x = 5,340,089,016.21/77,091.34
  6. Step 6: Final answer
    x = 69,269.64

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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.