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Finding the Fourth Proportional to 27,646.50, 41,427.73 and 20,255.86

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Solution

The fourth proportional to 27,646.50, 41,427.73 and 20,255.86 is: 30,353.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,646.50 : 41,427.73 = 20,255.86 : x
  2. Step 2: Convert to fraction form
    27,646.50/41,427.73 = 20,255.86/x
  3. Step 3: Cross multiply
    27,646.50x = 41,427.73 × 20,255.86
  4. Step 4: Simplify right side
    27,646.50x = 839,154,299.00
  5. Step 5: Solve for x
    x = 839,154,299.00/27,646.50
  6. Step 6: Final answer
    x = 30,353.00

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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.