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Finding the Fourth Proportional to 109,399.50, 164,126.97 and 30,513.74

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Solution

The fourth proportional to 109,399.50, 164,126.97 and 30,513.74 is: 45,778.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,399.50 : 164,126.97 = 30,513.74 : x
  2. Step 2: Convert to fraction form
    109,399.50/164,126.97 = 30,513.74/x
  3. Step 3: Cross multiply
    109,399.50x = 164,126.97 × 30,513.74
  4. Step 4: Simplify right side
    109,399.50x = 5,008,126,868.93
  5. Step 5: Solve for x
    x = 5,008,126,868.93/109,399.50
  6. Step 6: Final answer
    x = 45,778.33

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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.