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Finding the Fourth Proportional to 27,564.63, 41,220.78 and 20,549.42

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Solution

The fourth proportional to 27,564.63, 41,220.78 and 20,549.42 is: 30,730.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,564.63 : 41,220.78 = 20,549.42 : x
  2. Step 2: Convert to fraction form
    27,564.63/41,220.78 = 20,549.42/x
  3. Step 3: Cross multiply
    27,564.63x = 41,220.78 × 20,549.42
  4. Step 4: Simplify right side
    27,564.63x = 847,063,120.95
  5. Step 5: Solve for x
    x = 847,063,120.95/27,564.63
  6. Step 6: Final answer
    x = 30,730.07

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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.