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Finding the Fourth Proportional to 27,581.40, 41,392.98 and 20,205.03

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Solution

The fourth proportional to 27,581.40, 41,392.98 and 20,205.03 is: 30,322.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,581.40 : 41,392.98 = 20,205.03 : x
  2. Step 2: Convert to fraction form
    27,581.40/41,392.98 = 20,205.03/x
  3. Step 3: Cross multiply
    27,581.40x = 41,392.98 × 20,205.03
  4. Step 4: Simplify right side
    27,581.40x = 836,346,402.69
  5. Step 5: Solve for x
    x = 836,346,402.69/27,581.40
  6. Step 6: Final answer
    x = 30,322.84

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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.