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Finding the Fourth Proportional to 27,794.60, 41,627.10 and 27,237.80

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Solution

The fourth proportional to 27,794.60, 41,627.10 and 27,237.80 is: 40,793.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,794.60 : 41,627.10 = 27,237.80 : x
  2. Step 2: Convert to fraction form
    27,794.60/41,627.10 = 27,237.80/x
  3. Step 3: Cross multiply
    27,794.60x = 41,627.10 × 27,237.80
  4. Step 4: Simplify right side
    27,794.60x = 1,133,830,624.38
  5. Step 5: Solve for x
    x = 1,133,830,624.38/27,794.60
  6. Step 6: Final answer
    x = 40,793.20

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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.