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Finding the Fourth Proportional to 52,009.32, 78,091.74 and 50,194.92

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Solution

The fourth proportional to 52,009.32, 78,091.74 and 50,194.92 is: 75,367.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,009.32 : 78,091.74 = 50,194.92 : x
  2. Step 2: Convert to fraction form
    52,009.32/78,091.74 = 50,194.92/x
  3. Step 3: Cross multiply
    52,009.32x = 78,091.74 × 50,194.92
  4. Step 4: Simplify right side
    52,009.32x = 3,919,808,641.96
  5. Step 5: Solve for x
    x = 3,919,808,641.96/52,009.32
  6. Step 6: Final answer
    x = 75,367.43

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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.