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Finding the Fourth Proportional to 55,207.48, 82,811.32 and 20,138.98

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Solution

The fourth proportional to 55,207.48, 82,811.32 and 20,138.98 is: 30,208.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,207.48 : 82,811.32 = 20,138.98 : x
  2. Step 2: Convert to fraction form
    55,207.48/82,811.32 = 20,138.98/x
  3. Step 3: Cross multiply
    55,207.48x = 82,811.32 × 20,138.98
  4. Step 4: Simplify right side
    55,207.48x = 1,667,735,517.25
  5. Step 5: Solve for x
    x = 1,667,735,517.25/55,207.48
  6. Step 6: Final answer
    x = 30,208.51

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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.