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Finding the Fourth Proportional to 53,827.60, 80,741.40 and 27,583.60

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Solution

The fourth proportional to 53,827.60, 80,741.40 and 27,583.60 is: 41,375.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,827.60 : 80,741.40 = 27,583.60 : x
  2. Step 2: Convert to fraction form
    53,827.60/80,741.40 = 27,583.60/x
  3. Step 3: Cross multiply
    53,827.60x = 80,741.40 × 27,583.60
  4. Step 4: Simplify right side
    53,827.60x = 2,227,138,481.04
  5. Step 5: Solve for x
    x = 2,227,138,481.04/53,827.60
  6. Step 6: Final answer
    x = 41,375.40

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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.